7m+4=3(2m+5)-m

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Solution for 7m+4=3(2m+5)-m equation:


Simplifying
7m + 4 = 3(2m + 5) + -1m

Reorder the terms:
4 + 7m = 3(2m + 5) + -1m

Reorder the terms:
4 + 7m = 3(5 + 2m) + -1m
4 + 7m = (5 * 3 + 2m * 3) + -1m
4 + 7m = (15 + 6m) + -1m

Combine like terms: 6m + -1m = 5m
4 + 7m = 15 + 5m

Solving
4 + 7m = 15 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
4 + 7m + -5m = 15 + 5m + -5m

Combine like terms: 7m + -5m = 2m
4 + 2m = 15 + 5m + -5m

Combine like terms: 5m + -5m = 0
4 + 2m = 15 + 0
4 + 2m = 15

Add '-4' to each side of the equation.
4 + -4 + 2m = 15 + -4

Combine like terms: 4 + -4 = 0
0 + 2m = 15 + -4
2m = 15 + -4

Combine like terms: 15 + -4 = 11
2m = 11

Divide each side by '2'.
m = 5.5

Simplifying
m = 5.5

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