3m+17-m=10-m-2

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Solution for 3m+17-m=10-m-2 equation:


Simplifying
3m + 17 + -1m = 10 + -1m + -2

Reorder the terms:
17 + 3m + -1m = 10 + -1m + -2

Combine like terms: 3m + -1m = 2m
17 + 2m = 10 + -1m + -2

Reorder the terms:
17 + 2m = 10 + -2 + -1m

Combine like terms: 10 + -2 = 8
17 + 2m = 8 + -1m

Solving
17 + 2m = 8 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
17 + 2m + m = 8 + -1m + m

Combine like terms: 2m + m = 3m
17 + 3m = 8 + -1m + m

Combine like terms: -1m + m = 0
17 + 3m = 8 + 0
17 + 3m = 8

Add '-17' to each side of the equation.
17 + -17 + 3m = 8 + -17

Combine like terms: 17 + -17 = 0
0 + 3m = 8 + -17
3m = 8 + -17

Combine like terms: 8 + -17 = -9
3m = -9

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

Simplifying
m = -3

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