3m+1=2m-3

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


Simplifying
3m + 1 = 2m + -3

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

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

Solving
1 + 3m = -3 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
1 + 3m + -2m = -3 + 2m + -2m

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

Combine like terms: 2m + -2m = 0
1 + 1m = -3 + 0
1 + 1m = -3

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

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

Combine like terms: -3 + -1 = -4
1m = -4

Divide each side by '1'.
m = -4

Simplifying
m = -4

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