5m+2m+100=15m+20m

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Solution for 5m+2m+100=15m+20m equation:


Simplifying
5m + 2m + 100 = 15m + 20m

Reorder the terms:
100 + 5m + 2m = 15m + 20m

Combine like terms: 5m + 2m = 7m
100 + 7m = 15m + 20m

Combine like terms: 15m + 20m = 35m
100 + 7m = 35m

Solving
100 + 7m = 35m

Solving for variable 'm'.

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

Add '-35m' to each side of the equation.
100 + 7m + -35m = 35m + -35m

Combine like terms: 7m + -35m = -28m
100 + -28m = 35m + -35m

Combine like terms: 35m + -35m = 0
100 + -28m = 0

Add '-100' to each side of the equation.
100 + -100 + -28m = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -28m = 0 + -100
-28m = 0 + -100

Combine like terms: 0 + -100 = -100
-28m = -100

Divide each side by '-28'.
m = 3.571428571

Simplifying
m = 3.571428571

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