3m-5+7m=5m+40

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Solution for 3m-5+7m=5m+40 equation:


Simplifying
3m + -5 + 7m = 5m + 40

Reorder the terms:
-5 + 3m + 7m = 5m + 40

Combine like terms: 3m + 7m = 10m
-5 + 10m = 5m + 40

Reorder the terms:
-5 + 10m = 40 + 5m

Solving
-5 + 10m = 40 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-5 + 10m + -5m = 40 + 5m + -5m

Combine like terms: 10m + -5m = 5m
-5 + 5m = 40 + 5m + -5m

Combine like terms: 5m + -5m = 0
-5 + 5m = 40 + 0
-5 + 5m = 40

Add '5' to each side of the equation.
-5 + 5 + 5m = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 5m = 40 + 5
5m = 40 + 5

Combine like terms: 40 + 5 = 45
5m = 45

Divide each side by '5'.
m = 9

Simplifying
m = 9

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