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'.