15m+61=38m-100

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Solution for 15m+61=38m-100 equation:


Simplifying
15m + 61 = 38m + -100

Reorder the terms:
61 + 15m = 38m + -100

Reorder the terms:
61 + 15m = -100 + 38m

Solving
61 + 15m = -100 + 38m

Solving for variable 'm'.

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

Add '-38m' to each side of the equation.
61 + 15m + -38m = -100 + 38m + -38m

Combine like terms: 15m + -38m = -23m
61 + -23m = -100 + 38m + -38m

Combine like terms: 38m + -38m = 0
61 + -23m = -100 + 0
61 + -23m = -100

Add '-61' to each side of the equation.
61 + -61 + -23m = -100 + -61

Combine like terms: 61 + -61 = 0
0 + -23m = -100 + -61
-23m = -100 + -61

Combine like terms: -100 + -61 = -161
-23m = -161

Divide each side by '-23'.
m = 7

Simplifying
m = 7

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