What is the solution to the linear equation? 4b + 6 = 2 – b + 4 b = –2 b = 0 b = 4 b = 6

The correct answer is the second option, b = 0.

Step-by-step explanation:

To solve this equation, we must move all of the variable terms (terms that include the letter b) to one side of the equation and move all of the constant terms (terms that consist of a number only) to the other side of the equation.

To do this, we will begin by combining like terms on the right side of the equation.  This means adding together 2 and 4 to make 6, simplifying the equation.

4b + 6 = 2 + 4 - b

4b + 6 = 6 - b

Next, we should add b to both sides to cancel out the variable b on the right side of the equation.  In the same step, we can subtract 6 from both sides of the equation in order to isolate this variable on the left side.

4b + 6 = 6 - b

4b + b + 6 - 6 = 6-6 -b +b

After simplifying, we get:

5b = 0

Now, we should divide both sides by 5 to get the variable b alone on the left side of the equation.

b = 0/5 = 0

Therefore, the answer is the second option, b = 0.

Hope this helps!

4b + 6 = 2 – b + 4

4b + 6 = 2 – b + 4

+b                  +b

5b + 6 = 2 + 4

5b + 6 = 6

     -6      -6

5b = 0

/5     /5

b = 0

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translate k to n and reflect across the line containing jk.