4k-4(2k-6)=-3(6k+6)

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Solution for 4k-4(2k-6)=-3(6k+6) equation: 


Simplifying
4k + -4(2k + -6) = -3(6k + 6)

Reorder the terms:
4k + -4(-6 + 2k) = -3(6k + 6)
4k + (-6 * -4 + 2k * -4) = -3(6k + 6)
4k + (24 + -8k) = -3(6k + 6)

Reorder the terms:
24 + 4k + -8k = -3(6k + 6)

Combine like terms: 4k + -8k = -4k
24 + -4k = -3(6k + 6)

Reorder the terms:
24 + -4k = -3(6 + 6k)
24 + -4k = (6 * -3 + 6k * -3)
24 + -4k = (-18 + -18k)

Solving
24 + -4k = -18 + -18k

Solving for variable 'k'.

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

Add '18k' to each side of the equation.
24 + -4k + 18k = -18 + -18k + 18k

Combine like terms: -4k + 18k = 14k
24 + 14k = -18 + -18k + 18k

Combine like terms: -18k + 18k = 0
24 + 14k = -18 + 0
24 + 14k = -18

Add '-24' to each side of the equation.
24 + -24 + 14k = -18 + -24

Combine like terms: 24 + -24 = 0
0 + 14k = -18 + -24
14k = -18 + -24

Combine like terms: -18 + -24 = -42
14k = -42

Divide each side by '14'.
k = -3

Simplifying
k = -3

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