-2(2m-8)+3(m-3)=12-9

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Solution for -2(2m-8)+3(m-3)=12-9 equation:


Simplifying
-2(2m + -8) + 3(m + -3) = 12 + -9

Reorder the terms:
-2(-8 + 2m) + 3(m + -3) = 12 + -9
(-8 * -2 + 2m * -2) + 3(m + -3) = 12 + -9
(16 + -4m) + 3(m + -3) = 12 + -9

Reorder the terms:
16 + -4m + 3(-3 + m) = 12 + -9
16 + -4m + (-3 * 3 + m * 3) = 12 + -9
16 + -4m + (-9 + 3m) = 12 + -9

Reorder the terms:
16 + -9 + -4m + 3m = 12 + -9

Combine like terms: 16 + -9 = 7
7 + -4m + 3m = 12 + -9

Combine like terms: -4m + 3m = -1m
7 + -1m = 12 + -9

Combine like terms: 12 + -9 = 3
7 + -1m = 3

Solving
7 + -1m = 3

Solving for variable 'm'.

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

Add '-7' to each side of the equation.
7 + -7 + -1m = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = 3 + -7
-1m = 3 + -7

Combine like terms: 3 + -7 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4

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