-4(k-1)=-8(1-k)

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Solution for -4(k-1)=-8(1-k) equation: 


Simplifying
-4(k + -1) = -8(1 + -1k)

Reorder the terms:
-4(-1 + k) = -8(1 + -1k)
(-1 * -4 + k * -4) = -8(1 + -1k)
(4 + -4k) = -8(1 + -1k)
4 + -4k = (1 * -8 + -1k * -8)
4 + -4k = (-8 + 8k)

Solving
4 + -4k = -8 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
4 + -4k + -8k = -8 + 8k + -8k

Combine like terms: -4k + -8k = -12k
4 + -12k = -8 + 8k + -8k

Combine like terms: 8k + -8k = 0
4 + -12k = -8 + 0
4 + -12k = -8

Add '-4' to each side of the equation.
4 + -4 + -12k = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -12k = -8 + -4
-12k = -8 + -4

Combine like terms: -8 + -4 = -12
-12k = -12

Divide each side by '-12'.
k = 1

Simplifying
k = 1

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