12(m+6)=7(-m-6)

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Solution for 12(m+6)=7(-m-6) equation:


Simplifying
12(m + 6) = 7(-1m + -6)

Reorder the terms:
12(6 + m) = 7(-1m + -6)
(6 * 12 + m * 12) = 7(-1m + -6)
(72 + 12m) = 7(-1m + -6)

Reorder the terms:
72 + 12m = 7(-6 + -1m)
72 + 12m = (-6 * 7 + -1m * 7)
72 + 12m = (-42 + -7m)

Solving
72 + 12m = -42 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
72 + 12m + 7m = -42 + -7m + 7m

Combine like terms: 12m + 7m = 19m
72 + 19m = -42 + -7m + 7m

Combine like terms: -7m + 7m = 0
72 + 19m = -42 + 0
72 + 19m = -42

Add '-72' to each side of the equation.
72 + -72 + 19m = -42 + -72

Combine like terms: 72 + -72 = 0
0 + 19m = -42 + -72
19m = -42 + -72

Combine like terms: -42 + -72 = -114
19m = -114

Divide each side by '19'.
m = -6

Simplifying
m = -6

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