2(5m+7)-3(3m+2)=4m

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Solution for 2(5m+7)-3(3m+2)=4m equation: 


Simplifying
2(5m + 7) + -3(3m + 2) = 4m

Reorder the terms:
2(7 + 5m) + -3(3m + 2) = 4m
(7 * 2 + 5m * 2) + -3(3m + 2) = 4m
(14 + 10m) + -3(3m + 2) = 4m

Reorder the terms:
14 + 10m + -3(2 + 3m) = 4m
14 + 10m + (2 * -3 + 3m * -3) = 4m
14 + 10m + (-6 + -9m) = 4m

Reorder the terms:
14 + -6 + 10m + -9m = 4m

Combine like terms: 14 + -6 = 8
8 + 10m + -9m = 4m

Combine like terms: 10m + -9m = 1m
8 + 1m = 4m

Solving
8 + 1m = 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
8 + 1m + -4m = 4m + -4m

Combine like terms: 1m + -4m = -3m
8 + -3m = 4m + -4m

Combine like terms: 4m + -4m = 0
8 + -3m = 0

Add '-8' to each side of the equation.
8 + -8 + -3m = 0 + -8

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

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

Divide each side by '-3'.
m = 2.666666667

Simplifying
m = 2.666666667

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