12k+8-15=-2(3k-82)

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Solution for 12k+8-15=-2(3k-82) equation:


Simplifying
12k + 8 + -15 = -2(3k + -82)

Reorder the terms:
8 + -15 + 12k = -2(3k + -82)

Combine like terms: 8 + -15 = -7
-7 + 12k = -2(3k + -82)

Reorder the terms:
-7 + 12k = -2(-82 + 3k)
-7 + 12k = (-82 * -2 + 3k * -2)
-7 + 12k = (164 + -6k)

Solving
-7 + 12k = 164 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-7 + 12k + 6k = 164 + -6k + 6k

Combine like terms: 12k + 6k = 18k
-7 + 18k = 164 + -6k + 6k

Combine like terms: -6k + 6k = 0
-7 + 18k = 164 + 0
-7 + 18k = 164

Add '7' to each side of the equation.
-7 + 7 + 18k = 164 + 7

Combine like terms: -7 + 7 = 0
0 + 18k = 164 + 7
18k = 164 + 7

Combine like terms: 164 + 7 = 171
18k = 171

Divide each side by '18'.
k = 9.5

Simplifying
k = 9.5

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