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 = -5m
32 + -6m = -3 + -5m

Solving
32 + -6m = -3 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
32 + -6m + 5m = -3 + -5m + 5m

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

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

Add '-32' to each side of the equation.
32 + -32 + -1m = -3 + -32

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

Combine like terms: -3 + -32 = -35
-1m = -35

Divide each side by '-1'.
m = 35

Simplifying
m = 35

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