2m+1=3m-6

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Solution for 2m+1=3m-6 equation:


Simplifying
2m + 1 = 3m + -6

Reorder the terms:
1 + 2m = 3m + -6

Reorder the terms:
1 + 2m = -6 + 3m

Solving
1 + 2m = -6 + 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 + 2m + -3m = -6 + 3m + -3m

Combine like terms: 2m + -3m = -1m
1 + -1m = -6 + 3m + -3m

Combine like terms: 3m + -3m = 0
1 + -1m = -6 + 0
1 + -1m = -6

Add '-1' to each side of the equation.
1 + -1 + -1m = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -1m = -6 + -1
-1m = -6 + -1

Combine like terms: -6 + -1 = -7
-1m = -7

Divide each side by '-1'.
m = 7

Simplifying
m = 7

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