2m+40=7m-5

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Solution for 2m+40=7m-5 equation:


Simplifying
2m + 40 = 7m + -5

Reorder the terms:
40 + 2m = 7m + -5

Reorder the terms:
40 + 2m = -5 + 7m

Solving
40 + 2m = -5 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
40 + 2m + -7m = -5 + 7m + -7m

Combine like terms: 2m + -7m = -5m
40 + -5m = -5 + 7m + -7m

Combine like terms: 7m + -7m = 0
40 + -5m = -5 + 0
40 + -5m = -5

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

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

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

Divide each side by '-5'.
m = 9

Simplifying
m = 9

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