-4(-4k-5)=8k-12

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Solution for -4(-4k-5)=8k-12 equation:


Simplifying
-4(-4k + -5) = 8k + -12

Reorder the terms:
-4(-5 + -4k) = 8k + -12
(-5 * -4 + -4k * -4) = 8k + -12
(20 + 16k) = 8k + -12

Reorder the terms:
20 + 16k = -12 + 8k

Solving
20 + 16k = -12 + 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.
20 + 16k + -8k = -12 + 8k + -8k

Combine like terms: 16k + -8k = 8k
20 + 8k = -12 + 8k + -8k

Combine like terms: 8k + -8k = 0
20 + 8k = -12 + 0
20 + 8k = -12

Add '-20' to each side of the equation.
20 + -20 + 8k = -12 + -20

Combine like terms: 20 + -20 = 0
0 + 8k = -12 + -20
8k = -12 + -20

Combine like terms: -12 + -20 = -32
8k = -32

Divide each side by '8'.
k = -4

Simplifying
k = -4

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