-4(k-3)=4(k-1)+8k

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Solution for -4(k-3)=4(k-1)+8k equation: 


Simplifying
-4(k + -3) = 4(k + -1) + 8k

Reorder the terms:
-4(-3 + k) = 4(k + -1) + 8k
(-3 * -4 + k * -4) = 4(k + -1) + 8k
(12 + -4k) = 4(k + -1) + 8k

Reorder the terms:
12 + -4k = 4(-1 + k) + 8k
12 + -4k = (-1 * 4 + k * 4) + 8k
12 + -4k = (-4 + 4k) + 8k

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

Solving
12 + -4k = -4 + 12k

Solving for variable 'k'.

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

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

Combine like terms: -4k + -12k = -16k
12 + -16k = -4 + 12k + -12k

Combine like terms: 12k + -12k = 0
12 + -16k = -4 + 0
12 + -16k = -4

Add '-12' to each side of the equation.
12 + -12 + -16k = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -16k = -4 + -12
-16k = -4 + -12

Combine like terms: -4 + -12 = -16
-16k = -16

Divide each side by '-16'.
k = 1

Simplifying
k = 1

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