-4(6k-2)=40-8k

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Solution for -4(6k-2)=40-8k equation:


Simplifying
-4(6k + -2) = 40 + -8k

Reorder the terms:
-4(-2 + 6k) = 40 + -8k
(-2 * -4 + 6k * -4) = 40 + -8k
(8 + -24k) = 40 + -8k

Solving
8 + -24k = 40 + -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.
8 + -24k + 8k = 40 + -8k + 8k

Combine like terms: -24k + 8k = -16k
8 + -16k = 40 + -8k + 8k

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

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

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

Combine like terms: 40 + -8 = 32
-16k = 32

Divide each side by '-16'.
k = -2

Simplifying
k = -2

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