m+1-3m+10=m+7-2

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Solution for m+1-3m+10=m+7-2 equation:


Simplifying
m + 1 + -3m + 10 = m + 7 + -2

Reorder the terms:
1 + 10 + m + -3m = m + 7 + -2

Combine like terms: 1 + 10 = 11
11 + m + -3m = m + 7 + -2

Combine like terms: m + -3m = -2m
11 + -2m = m + 7 + -2

Reorder the terms:
11 + -2m = 7 + -2 + m

Combine like terms: 7 + -2 = 5
11 + -2m = 5 + m

Solving
11 + -2m = 5 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
11 + -2m + -1m = 5 + m + -1m

Combine like terms: -2m + -1m = -3m
11 + -3m = 5 + m + -1m

Combine like terms: m + -1m = 0
11 + -3m = 5 + 0
11 + -3m = 5

Add '-11' to each side of the equation.
11 + -11 + -3m = 5 + -11

Combine like terms: 11 + -11 = 0
0 + -3m = 5 + -11
-3m = 5 + -11

Combine like terms: 5 + -11 = -6
-3m = -6

Divide each side by '-3'.
m = 2

Simplifying
m = 2

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