3m+4=8m-16

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Solution for 3m+4=8m-16 equation:


Simplifying
3m + 4 = 8m + -16

Reorder the terms:
4 + 3m = 8m + -16

Reorder the terms:
4 + 3m = -16 + 8m

Solving
4 + 3m = -16 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
4 + 3m + -8m = -16 + 8m + -8m

Combine like terms: 3m + -8m = -5m
4 + -5m = -16 + 8m + -8m

Combine like terms: 8m + -8m = 0
4 + -5m = -16 + 0
4 + -5m = -16

Add '-4' to each side of the equation.
4 + -4 + -5m = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -5m = -16 + -4
-5m = -16 + -4

Combine like terms: -16 + -4 = -20
-5m = -20

Divide each side by '-5'.
m = 4

Simplifying
m = 4

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