12m-6+2m(8-5)-(3m-6)(7-2)=0

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Solution for 12m-6+2m(8-5)-(3m-6)(7-2)=0 equation:


Simplifying
12m + -6 + 2m(8 + -5) + -1(3m + -6)(7 + -2) = 0

Combine like terms: 8 + -5 = 3
12m + -6 + 2m(3) + -1(3m + -6)(7 + -2) = 0

Reorder the terms for easier multiplication:
12m + -6 + 2 * 3m + -1(3m + -6)(7 + -2) = 0

Multiply 2 * 3
12m + -6 + 6m + -1(3m + -6)(7 + -2) = 0

Reorder the terms:
12m + -6 + 6m + -1(-6 + 3m)(7 + -2) = 0

Combine like terms: 7 + -2 = 5
12m + -6 + 6m + -1(-6 + 3m)(5) = 0

Reorder the terms for easier multiplication:
12m + -6 + 6m + -1 * 5(-6 + 3m) = 0

Multiply -1 * 5
12m + -6 + 6m + -5(-6 + 3m) = 0
12m + -6 + 6m + (-6 * -5 + 3m * -5) = 0
12m + -6 + 6m + (30 + -15m) = 0

Reorder the terms:
-6 + 30 + 12m + 6m + -15m = 0

Combine like terms: -6 + 30 = 24
24 + 12m + 6m + -15m = 0

Combine like terms: 12m + 6m = 18m
24 + 18m + -15m = 0

Combine like terms: 18m + -15m = 3m
24 + 3m = 0

Solving
24 + 3m = 0

Solving for variable 'm'.

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

Add '-24' to each side of the equation.
24 + -24 + 3m = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 3m = 0 + -24
3m = 0 + -24

Combine like terms: 0 + -24 = -24
3m = -24

Divide each side by '3'.
m = -8

Simplifying
m = -8

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