Solve: 4(k + 5) = 2(9k – 4)

k = 2

Step-by-step explanation:

Simplifying

4(k + 5) = 2(9k + -4)

Reorder the terms:

4(5 + k) = 2(9k + -4)

(5 * 4 + k * 4) = 2(9k + -4)

(20 + 4k) = 2(9k + -4)

Reorder the terms:

20 + 4k = 2(-4 + 9k)

20 + 4k = (-4 * 2 + 9k * 2)

20 + 4k = (-8 + 18k)

Solving

20 + 4k = -8 + 18k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-18k' to each side of the equation.

20 + 4k + -18k = -8 + 18k + -18k

Combine like terms: 4k + -18k = -14k

20 + -14k = -8 + 18k + -18k

Combine like terms: 18k + -18k = 0

20 + -14k = -8 + 0

20 + -14k = -8

Add '-20' to each side of the equation.

20 + -20 + -14k = -8 + -20

Combine like terms: 20 + -20 = 0

0 + -14k = -8 + -20

-14k = -8 + -20

Combine like terms: -8 + -20 = -28

-14k = -28

Divide each side by '-14'.

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