-4k+2(5k+6)=-3k-39

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Solution for -4k+2(5k+6)=-3k-39 equation: 


Simplifying
-4k + 2(5k + 6) = -3k + -39

Reorder the terms:
-4k + 2(6 + 5k) = -3k + -39
-4k + (6 * 2 + 5k * 2) = -3k + -39
-4k + (12 + 10k) = -3k + -39

Reorder the terms:
12 + -4k + 10k = -3k + -39

Combine like terms: -4k + 10k = 6k
12 + 6k = -3k + -39

Reorder the terms:
12 + 6k = -39 + -3k

Solving
12 + 6k = -39 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
12 + 6k + 3k = -39 + -3k + 3k

Combine like terms: 6k + 3k = 9k
12 + 9k = -39 + -3k + 3k

Combine like terms: -3k + 3k = 0
12 + 9k = -39 + 0
12 + 9k = -39

Add '-12' to each side of the equation.
12 + -12 + 9k = -39 + -12

Combine like terms: 12 + -12 = 0
0 + 9k = -39 + -12
9k = -39 + -12

Combine like terms: -39 + -12 = -51
9k = -51

Divide each side by '9'.
k = -5.666666667

Simplifying
k = -5.666666667

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