-6k+37=3k-2(6+8k)

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Solution for -6k+37=3k-2(6+8k) equation: 


Simplifying
-6k + 37 = 3k + -2(6 + 8k)

Reorder the terms:
37 + -6k = 3k + -2(6 + 8k)
37 + -6k = 3k + (6 * -2 + 8k * -2)
37 + -6k = 3k + (-12 + -16k)

Reorder the terms:
37 + -6k = -12 + 3k + -16k

Combine like terms: 3k + -16k = -13k
37 + -6k = -12 + -13k

Solving
37 + -6k = -12 + -13k

Solving for variable 'k'.

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

Add '13k' to each side of the equation.
37 + -6k + 13k = -12 + -13k + 13k

Combine like terms: -6k + 13k = 7k
37 + 7k = -12 + -13k + 13k

Combine like terms: -13k + 13k = 0
37 + 7k = -12 + 0
37 + 7k = -12

Add '-37' to each side of the equation.
37 + -37 + 7k = -12 + -37

Combine like terms: 37 + -37 = 0
0 + 7k = -12 + -37
7k = -12 + -37

Combine like terms: -12 + -37 = -49
7k = -49

Divide each side by '7'.
k = -7

Simplifying
k = -7

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