7m+40+4m-16=13m-12-3m+5

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Solution for 7m+40+4m-16=13m-12-3m+5 equation:


Simplifying
7m + 40 + 4m + -16 = 13m + -12 + -3m + 5

Reorder the terms:
40 + -16 + 7m + 4m = 13m + -12 + -3m + 5

Combine like terms: 40 + -16 = 24
24 + 7m + 4m = 13m + -12 + -3m + 5

Combine like terms: 7m + 4m = 11m
24 + 11m = 13m + -12 + -3m + 5

Reorder the terms:
24 + 11m = -12 + 5 + 13m + -3m

Combine like terms: -12 + 5 = -7
24 + 11m = -7 + 13m + -3m

Combine like terms: 13m + -3m = 10m
24 + 11m = -7 + 10m

Solving
24 + 11m = -7 + 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.
24 + 11m + -10m = -7 + 10m + -10m

Combine like terms: 11m + -10m = 1m
24 + 1m = -7 + 10m + -10m

Combine like terms: 10m + -10m = 0
24 + 1m = -7 + 0
24 + 1m = -7

Add '-24' to each side of the equation.
24 + -24 + 1m = -7 + -24

Combine like terms: 24 + -24 = 0
0 + 1m = -7 + -24
1m = -7 + -24

Combine like terms: -7 + -24 = -31
1m = -31

Divide each side by '1'.
m = -31

Simplifying
m = -31

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