9-(m-3)=2(4m-1)-6m

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Solution for 9-(m-3)=2(4m-1)-6m equation:


Simplifying
9 + -1(m + -3) = 2(4m + -1) + -6m

Reorder the terms:
9 + -1(-3 + m) = 2(4m + -1) + -6m
9 + (-3 * -1 + m * -1) = 2(4m + -1) + -6m
9 + (3 + -1m) = 2(4m + -1) + -6m

Combine like terms: 9 + 3 = 12
12 + -1m = 2(4m + -1) + -6m

Reorder the terms:
12 + -1m = 2(-1 + 4m) + -6m
12 + -1m = (-1 * 2 + 4m * 2) + -6m
12 + -1m = (-2 + 8m) + -6m

Combine like terms: 8m + -6m = 2m
12 + -1m = -2 + 2m

Solving
12 + -1m = -2 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
12 + -1m + -2m = -2 + 2m + -2m

Combine like terms: -1m + -2m = -3m
12 + -3m = -2 + 2m + -2m

Combine like terms: 2m + -2m = 0
12 + -3m = -2 + 0
12 + -3m = -2

Add '-12' to each side of the equation.
12 + -12 + -3m = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -3m = -2 + -12
-3m = -2 + -12

Combine like terms: -2 + -12 = -14
-3m = -14

Divide each side by '-3'.
m = 4.666666667

Simplifying
m = 4.666666667

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