32-8k=-6+6(-7-8k)

Solution for 32-8k=-6+6(-7-8k) equation:

Simplifying
32 + -8k = -6 + 6(-7 + -8k)
32 + -8k = -6 + (-7 * 6 + -8k * 6)
32 + -8k = -6 + (-42 + -48k)

Combine like terms: -6 + -42 = -48
32 + -8k = -48 + -48k

Solving
32 + -8k = -48 + -48k

Solving for variable 'k'.

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

Add '48k' to each side of the equation.
32 + -8k + 48k = -48 + -48k + 48k

Combine like terms: -8k + 48k = 40k
32 + 40k = -48 + -48k + 48k

Combine like terms: -48k + 48k = 0
32 + 40k = -48 + 0
32 + 40k = -48

Add '-32' to each side of the equation.
32 + -32 + 40k = -48 + -32

Combine like terms: 32 + -32 = 0
0 + 40k = -48 + -32
40k = -48 + -32

Combine like terms: -48 + -32 = -80
40k = -80

Divide each side by '40'.
k = -2

Simplifying
k = -2