3+12m-2=8m+46-5m

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Solution for 3+12m-2=8m+46-5m equation: 


Simplifying
3 + 12m + -2 = 8m + 46 + -5m

Reorder the terms:
3 + -2 + 12m = 8m + 46 + -5m

Combine like terms: 3 + -2 = 1
1 + 12m = 8m + 46 + -5m

Reorder the terms:
1 + 12m = 46 + 8m + -5m

Combine like terms: 8m + -5m = 3m
1 + 12m = 46 + 3m

Solving
1 + 12m = 46 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
1 + 12m + -3m = 46 + 3m + -3m

Combine like terms: 12m + -3m = 9m
1 + 9m = 46 + 3m + -3m

Combine like terms: 3m + -3m = 0
1 + 9m = 46 + 0
1 + 9m = 46

Add '-1' to each side of the equation.
1 + -1 + 9m = 46 + -1

Combine like terms: 1 + -1 = 0
0 + 9m = 46 + -1
9m = 46 + -1

Combine like terms: 46 + -1 = 45
9m = 45

Divide each side by '9'.
m = 5

Simplifying
m = 5

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