2m+5m-30=3m+14

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Solution for 2m+5m-30=3m+14 equation:


Simplifying
2m + 5m + -30 = 3m + 14

Reorder the terms:
-30 + 2m + 5m = 3m + 14

Combine like terms: 2m + 5m = 7m
-30 + 7m = 3m + 14

Reorder the terms:
-30 + 7m = 14 + 3m

Solving
-30 + 7m = 14 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-30 + 7m + -3m = 14 + 3m + -3m

Combine like terms: 7m + -3m = 4m
-30 + 4m = 14 + 3m + -3m

Combine like terms: 3m + -3m = 0
-30 + 4m = 14 + 0
-30 + 4m = 14

Add '30' to each side of the equation.
-30 + 30 + 4m = 14 + 30

Combine like terms: -30 + 30 = 0
0 + 4m = 14 + 30
4m = 14 + 30

Combine like terms: 14 + 30 = 44
4m = 44

Divide each side by '4'.
m = 11

Simplifying
m = 11

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