5m+9=3(m-5)+7m

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Solution for 5m+9=3(m-5)+7m equation: 


Simplifying
5m + 9 = 3(m + -5) + 7m

Reorder the terms:
9 + 5m = 3(m + -5) + 7m

Reorder the terms:
9 + 5m = 3(-5 + m) + 7m
9 + 5m = (-5 * 3 + m * 3) + 7m
9 + 5m = (-15 + 3m) + 7m

Combine like terms: 3m + 7m = 10m
9 + 5m = -15 + 10m

Solving
9 + 5m = -15 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
9 + 5m + -10m = -15 + 10m + -10m

Combine like terms: 5m + -10m = -5m
9 + -5m = -15 + 10m + -10m

Combine like terms: 10m + -10m = 0
9 + -5m = -15 + 0
9 + -5m = -15

Add '-9' to each side of the equation.
9 + -9 + -5m = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -5m = -15 + -9
-5m = -15 + -9

Combine like terms: -15 + -9 = -24
-5m = -24

Divide each side by '-5'.
m = 4.8

Simplifying
m = 4.8

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