-3-3(2m-6)=3(m+1)-5m

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Solution for -3-3(2m-6)=3(m+1)-5m equation:


Simplifying
-3 + -3(2m + -6) = 3(m + 1) + -5m

Reorder the terms:
-3 + -3(-6 + 2m) = 3(m + 1) + -5m
-3 + (-6 * -3 + 2m * -3) = 3(m + 1) + -5m
-3 + (18 + -6m) = 3(m + 1) + -5m

Combine like terms: -3 + 18 = 15
15 + -6m = 3(m + 1) + -5m

Reorder the terms:
15 + -6m = 3(1 + m) + -5m
15 + -6m = (1 * 3 + m * 3) + -5m
15 + -6m = (3 + 3m) + -5m

Combine like terms: 3m + -5m = -2m
15 + -6m = 3 + -2m

Solving
15 + -6m = 3 + -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.
15 + -6m + 2m = 3 + -2m + 2m

Combine like terms: -6m + 2m = -4m
15 + -4m = 3 + -2m + 2m

Combine like terms: -2m + 2m = 0
15 + -4m = 3 + 0
15 + -4m = 3

Add '-15' to each side of the equation.
15 + -15 + -4m = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -4m = 3 + -15
-4m = 3 + -15

Combine like terms: 3 + -15 = -12
-4m = -12

Divide each side by '-4'.
m = 3

Simplifying
m = 3

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