40-8k=2(-8k-2)-4

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Solution for 40-8k=2(-8k-2)-4 equation: 


Simplifying
40 + -8k = 2(-8k + -2) + -4

Reorder the terms:
40 + -8k = 2(-2 + -8k) + -4
40 + -8k = (-2 * 2 + -8k * 2) + -4
40 + -8k = (-4 + -16k) + -4

Reorder the terms:
40 + -8k = -4 + -4 + -16k

Combine like terms: -4 + -4 = -8
40 + -8k = -8 + -16k

Solving
40 + -8k = -8 + -16k

Solving for variable 'k'.

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

Add '16k' to each side of the equation.
40 + -8k + 16k = -8 + -16k + 16k

Combine like terms: -8k + 16k = 8k
40 + 8k = -8 + -16k + 16k

Combine like terms: -16k + 16k = 0
40 + 8k = -8 + 0
40 + 8k = -8

Add '-40' to each side of the equation.
40 + -40 + 8k = -8 + -40

Combine like terms: 40 + -40 = 0
0 + 8k = -8 + -40
8k = -8 + -40

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

Divide each side by '8'.
k = -6

Simplifying
k = -6

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