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

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


Simplifying
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 = 14k
-12 + 14k = -3k + 39

Reorder the terms:
-12 + 14k = 39 + -3k

Solving
-12 + 14k = 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 + 14k + 3k = 39 + -3k + 3k

Combine like terms: 14k + 3k = 17k
-12 + 17k = 39 + -3k + 3k

Combine like terms: -3k + 3k = 0
-12 + 17k = 39 + 0
-12 + 17k = 39

Add '12' to each side of the equation.
-12 + 12 + 17k = 39 + 12

Combine like terms: -12 + 12 = 0
0 + 17k = 39 + 12
17k = 39 + 12

Combine like terms: 39 + 12 = 51
17k = 51

Divide each side by '17'.
k = 3

Simplifying
k = 3

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