m+16-2m+3m=4m-24+16

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Solution for m+16-2m+3m=4m-24+16 equation:


Simplifying
m + 16 + -2m + 3m = 4m + -24 + 16

Reorder the terms:
16 + m + -2m + 3m = 4m + -24 + 16

Combine like terms: m + -2m = -1m
16 + -1m + 3m = 4m + -24 + 16

Combine like terms: -1m + 3m = 2m
16 + 2m = 4m + -24 + 16

Reorder the terms:
16 + 2m = -24 + 16 + 4m

Combine like terms: -24 + 16 = -8
16 + 2m = -8 + 4m

Solving
16 + 2m = -8 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
16 + 2m + -4m = -8 + 4m + -4m

Combine like terms: 2m + -4m = -2m
16 + -2m = -8 + 4m + -4m

Combine like terms: 4m + -4m = 0
16 + -2m = -8 + 0
16 + -2m = -8

Add '-16' to each side of the equation.
16 + -16 + -2m = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -2m = -8 + -16
-2m = -8 + -16

Combine like terms: -8 + -16 = -24
-2m = -24

Divide each side by '-2'.
m = 12

Simplifying
m = 12

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