6(k+12)+2(k-5)=22

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Solution for 6(k+12)+2(k-5)=22 equation: 


Simplifying
6(k + 12) + 2(k + -5) = 22

Reorder the terms:
6(12 + k) + 2(k + -5) = 22
(12 * 6 + k * 6) + 2(k + -5) = 22
(72 + 6k) + 2(k + -5) = 22

Reorder the terms:
72 + 6k + 2(-5 + k) = 22
72 + 6k + (-5 * 2 + k * 2) = 22
72 + 6k + (-10 + 2k) = 22

Reorder the terms:
72 + -10 + 6k + 2k = 22

Combine like terms: 72 + -10 = 62
62 + 6k + 2k = 22

Combine like terms: 6k + 2k = 8k
62 + 8k = 22

Solving
62 + 8k = 22

Solving for variable 'k'.

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

Add '-62' to each side of the equation.
62 + -62 + 8k = 22 + -62

Combine like terms: 62 + -62 = 0
0 + 8k = 22 + -62
8k = 22 + -62

Combine like terms: 22 + -62 = -40
8k = -40

Divide each side by '8'.
k = -5

Simplifying
k = -5

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