2m+9=7m-36

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Solution for 2m+9=7m-36 equation:


Simplifying
2m + 9 = 7m + -36

Reorder the terms:
9 + 2m = 7m + -36

Reorder the terms:
9 + 2m = -36 + 7m

Solving
9 + 2m = -36 + 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.
9 + 2m + -7m = -36 + 7m + -7m

Combine like terms: 2m + -7m = -5m
9 + -5m = -36 + 7m + -7m

Combine like terms: 7m + -7m = 0
9 + -5m = -36 + 0
9 + -5m = -36

Add '-9' to each side of the equation.
9 + -9 + -5m = -36 + -9

Combine like terms: 9 + -9 = 0
0 + -5m = -36 + -9
-5m = -36 + -9

Combine like terms: -36 + -9 = -45
-5m = -45

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

Simplifying
m = 9

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