2m+2(4m+7)-6=3(2m+2-4)+7m-6

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Solution for 2m+2(4m+7)-6=3(2m+2-4)+7m-6 equation: 


Simplifying
2m + 2(4m + 7) + -6 = 3(2m + 2 + -4) + 7m + -6

Reorder the terms:
2m + 2(7 + 4m) + -6 = 3(2m + 2 + -4) + 7m + -6
2m + (7 * 2 + 4m * 2) + -6 = 3(2m + 2 + -4) + 7m + -6
2m + (14 + 8m) + -6 = 3(2m + 2 + -4) + 7m + -6

Reorder the terms:
14 + -6 + 2m + 8m = 3(2m + 2 + -4) + 7m + -6

Combine like terms: 14 + -6 = 8
8 + 2m + 8m = 3(2m + 2 + -4) + 7m + -6

Combine like terms: 2m + 8m = 10m
8 + 10m = 3(2m + 2 + -4) + 7m + -6

Reorder the terms:
8 + 10m = 3(2 + -4 + 2m) + 7m + -6

Combine like terms: 2 + -4 = -2
8 + 10m = 3(-2 + 2m) + 7m + -6
8 + 10m = (-2 * 3 + 2m * 3) + 7m + -6
8 + 10m = (-6 + 6m) + 7m + -6

Reorder the terms:
8 + 10m = -6 + -6 + 6m + 7m

Combine like terms: -6 + -6 = -12
8 + 10m = -12 + 6m + 7m

Combine like terms: 6m + 7m = 13m
8 + 10m = -12 + 13m

Solving
8 + 10m = -12 + 13m

Solving for variable 'm'.

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

Add '-13m' to each side of the equation.
8 + 10m + -13m = -12 + 13m + -13m

Combine like terms: 10m + -13m = -3m
8 + -3m = -12 + 13m + -13m

Combine like terms: 13m + -13m = 0
8 + -3m = -12 + 0
8 + -3m = -12

Add '-8' to each side of the equation.
8 + -8 + -3m = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -3m = -12 + -8
-3m = -12 + -8

Combine like terms: -12 + -8 = -20
-3m = -20

Divide each side by '-3'.
m = 6.666666667

Simplifying
m = 6.666666667

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