30-6m+2=2m-7-3m+4

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Solution for 30-6m+2=2m-7-3m+4 equation: 


Simplifying
30 + -6m + 2 = 2m + -7 + -3m + 4

Reorder the terms:
30 + 2 + -6m = 2m + -7 + -3m + 4

Combine like terms: 30 + 2 = 32
32 + -6m = 2m + -7 + -3m + 4

Reorder the terms:
32 + -6m = -7 + 4 + 2m + -3m

Combine like terms: -7 + 4 = -3
32 + -6m = -3 + 2m + -3m

Combine like terms: 2m + -3m = -1m
32 + -6m = -3 + -1m

Solving
32 + -6m = -3 + -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.
32 + -6m + m = -3 + -1m + m

Combine like terms: -6m + m = -5m
32 + -5m = -3 + -1m + m

Combine like terms: -1m + m = 0
32 + -5m = -3 + 0
32 + -5m = -3

Add '-32' to each side of the equation.
32 + -32 + -5m = -3 + -32

Combine like terms: 32 + -32 = 0
0 + -5m = -3 + -32
-5m = -3 + -32

Combine like terms: -3 + -32 = -35
-5m = -35

Divide each side by '-5'.
m = 7

Simplifying
m = 7

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