3(k-6)-(2k-2)=-2

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


Simplifying
3(k + -6) + -1(2k + -2) = -2

Reorder the terms:
3(-6 + k) + -1(2k + -2) = -2
(-6 * 3 + k * 3) + -1(2k + -2) = -2
(-18 + 3k) + -1(2k + -2) = -2

Reorder the terms:
-18 + 3k + -1(-2 + 2k) = -2
-18 + 3k + (-2 * -1 + 2k * -1) = -2
-18 + 3k + (2 + -2k) = -2

Reorder the terms:
-18 + 2 + 3k + -2k = -2

Combine like terms: -18 + 2 = -16
-16 + 3k + -2k = -2

Combine like terms: 3k + -2k = 1k
-16 + 1k = -2

Solving
-16 + 1k = -2

Solving for variable 'k'.

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

Add '16' to each side of the equation.
-16 + 16 + 1k = -2 + 16

Combine like terms: -16 + 16 = 0
0 + 1k = -2 + 16
1k = -2 + 16

Combine like terms: -2 + 16 = 14
1k = 14

Divide each side by '1'.
k = 14

Simplifying
k = 14

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