-4k+10k-12=3k-39

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Solution for -4k+10k-12=3k-39 equation: 


Simplifying
-4k + 10k + -12 = 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 = 3k
-12 + 3k = -39 + 3k + -3k

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

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

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

Combine like terms: -39 + 12 = -27
3k = -27

Divide each side by '3'.
k = -9

Simplifying
k = -9

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