Question

Solve for k:
8(4k-4)= -5k-32

Answer 1

Answer:

hope this helps

Step-by-step explanation:

Simplifying

8(4k + -4) = -4k + -32

Reorder the terms:

8(-4 + 4k) = -4k + -32

(-4 * 8 + 4k * 8) = -4k + -32

(-32 + 32k) = -4k + -32

Reorder the terms:

-32 + 32k = -32 + -4k

Add '32' to each side of the equation.

-32 + 32 + 32k = -32 + 32 + -4k

Combine like terms: -32 + 32 = 0

0 + 32k = -32 + 32 + -4k

32k = -32 + 32 + -4k

Combine like terms: -32 + 32 = 0

32k = 0 + -4k

32k = -4k

Solving

32k = -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.

32k + 4k = -4k + 4k

Combine like terms: 32k + 4k = 36k

36k = -4k + 4k

Combine like terms: -4k + 4k = 0

36k = 0

Divide each side by '36'.

k = 0

Simplifying

k = 0