2(m+3)-4=3(m+7)+11

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Solution for 2(m+3)-4=3(m+7)+11 equation: 


Simplifying
2(m + 3) + -4 = 3(m + 7) + 11

Reorder the terms:
2(3 + m) + -4 = 3(m + 7) + 11
(3 * 2 + m * 2) + -4 = 3(m + 7) + 11
(6 + 2m) + -4 = 3(m + 7) + 11

Reorder the terms:
6 + -4 + 2m = 3(m + 7) + 11

Combine like terms: 6 + -4 = 2
2 + 2m = 3(m + 7) + 11

Reorder the terms:
2 + 2m = 3(7 + m) + 11
2 + 2m = (7 * 3 + m * 3) + 11
2 + 2m = (21 + 3m) + 11

Reorder the terms:
2 + 2m = 21 + 11 + 3m

Combine like terms: 21 + 11 = 32
2 + 2m = 32 + 3m

Solving
2 + 2m = 32 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
2 + 2m + -3m = 32 + 3m + -3m

Combine like terms: 2m + -3m = -1m
2 + -1m = 32 + 3m + -3m

Combine like terms: 3m + -3m = 0
2 + -1m = 32 + 0
2 + -1m = 32

Add '-2' to each side of the equation.
2 + -2 + -1m = 32 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 32 + -2
-1m = 32 + -2

Combine like terms: 32 + -2 = 30
-1m = 30

Divide each side by '-1'.
m = -30

Simplifying
m = -30

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