3+2m-1=9m+17-4m

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Solution for 3+2m-1=9m+17-4m equation:


Simplifying
3 + 2m + -1 = 9m + 17 + -4m

Reorder the terms:
3 + -1 + 2m = 9m + 17 + -4m

Combine like terms: 3 + -1 = 2
2 + 2m = 9m + 17 + -4m

Reorder the terms:
2 + 2m = 17 + 9m + -4m

Combine like terms: 9m + -4m = 5m
2 + 2m = 17 + 5m

Solving
2 + 2m = 17 + 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.
2 + 2m + -5m = 17 + 5m + -5m

Combine like terms: 2m + -5m = -3m
2 + -3m = 17 + 5m + -5m

Combine like terms: 5m + -5m = 0
2 + -3m = 17 + 0
2 + -3m = 17

Add '-2' to each side of the equation.
2 + -2 + -3m = 17 + -2

Combine like terms: 2 + -2 = 0
0 + -3m = 17 + -2
-3m = 17 + -2

Combine like terms: 17 + -2 = 15
-3m = 15

Divide each side by '-3'.
m = -5

Simplifying
m = -5

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