-5(4k-4)+2(-2k-8)=-92

Solution for -5(4k-4)+2(-2k-8)=-92 equation:

Simplifying
-5(4k + -4) + 2(-2k + -8) = -92

Reorder the terms:
-5(-4 + 4k) + 2(-2k + -8) = -92
(-4 * -5 + 4k * -5) + 2(-2k + -8) = -92
(20 + -20k) + 2(-2k + -8) = -92

Reorder the terms:
20 + -20k + 2(-8 + -2k) = -92
20 + -20k + (-8 * 2 + -2k * 2) = -92
20 + -20k + (-16 + -4k) = -92

Reorder the terms:
20 + -16 + -20k + -4k = -92

Combine like terms: 20 + -16 = 4
4 + -20k + -4k = -92

Combine like terms: -20k + -4k = -24k
4 + -24k = -92

Solving
4 + -24k = -92

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -4 + -24k = -92 + -4

Combine like terms: 4 + -4 = 0
0 + -24k = -92 + -4
-24k = -92 + -4

Combine like terms: -92 + -4 = -96
-24k = -96

Divide each side by '-24'.
k = 4

Simplifying
k = 4