Find the Sum.
-1/2(7z+4) + 1/5(5z - 15)

Step-by-step explanation:

Final result :

 -3z - 8

 ———————

    4  

Step by step solution :

Step  1  :

           1

Simplify   —

           5

Equation at the end of step  1  :

     1           1

 (0-(—•(7z-4)))+(—•(5z-15))

     4           5

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  5z - 15  =   5 • (z - 3)

Equation at the end of step  3  :

        1                

 (0 -  (— • (7z - 4))) +  (z - 3)

        4                

Step  4  :

           1

Simplify   —

           4

Equation at the end of step  4  :

        1                

 (0 -  (— • (7z - 4))) +  (z - 3)

        4                

Step  5  :

Equation at the end of step  5  :

       (7z - 4)    

 (0 -  ————————) +  (z - 3)

          4        

Step  6  :

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

            z - 3     (z - 3) • 4

   z - 3 =  —————  =  ———————————

              1            4    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

6.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4-7z) + (z-3) • 4     -3z - 8

——————————————————  =  ———————

        4                 4  

Step  7  :

Pulling out like terms :

7.1     Pull out like factors :

  -3z - 8  =   -1 • (3z + 8)

Final result :

 -3z - 8

 ———————

    4  

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Final result :

 -3z - 8

 ———————

    4  

Step by step solution :

Step  1  :

           1

Simplify   —

           5

Equation at the end of step  1  :

     1           1

 (0-(—•(7z-4)))+(—•(5z-15))

     4           5

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  5z - 15  =   5 • (z - 3)

Equation at the end of step  3  :

        1                

 (0 -  (— • (7z - 4))) +  (z - 3)

        4                

Step  4  :

           1

Simplify   —

           4

Equation at the end of step  4  :

        1                

 (0 -  (— • (7z - 4))) +  (z - 3)

        4                

Step  5  :

Equation at the end of step  5  :

       (7z - 4)    

 (0 -  ————————) +  (z - 3)

          4        

Step  6  :

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

            z - 3     (z - 3) • 4

   z - 3 =  —————  =  ———————————

              1            4    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

6.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4-7z) + (z-3) • 4     -3z - 8

——————————————————  =  ———————

        4                 4  

Step  7  :

Pulling out like terms :

7.1     Pull out like factors :

  -3z - 8  =   -1 • (3z + 8)

Final result :

 -3z - 8

 ———————

    4  

Processing ends successfully

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x + 4/7

step-by-step explanation:

use cymath