7m+30-2(m-3)=5m-(8m-7)-3m+8

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Solution for 7m+30-2(m-3)=5m-(8m-7)-3m+8 equation: 


Simplifying
7m + 30 + -2(m + -3) = 5m + -1(8m + -7) + -3m + 8

Reorder the terms:
7m + 30 + -2(-3 + m) = 5m + -1(8m + -7) + -3m + 8
7m + 30 + (-3 * -2 + m * -2) = 5m + -1(8m + -7) + -3m + 8
7m + 30 + (6 + -2m) = 5m + -1(8m + -7) + -3m + 8

Reorder the terms:
30 + 6 + 7m + -2m = 5m + -1(8m + -7) + -3m + 8

Combine like terms: 30 + 6 = 36
36 + 7m + -2m = 5m + -1(8m + -7) + -3m + 8

Combine like terms: 7m + -2m = 5m
36 + 5m = 5m + -1(8m + -7) + -3m + 8

Reorder the terms:
36 + 5m = 5m + -1(-7 + 8m) + -3m + 8
36 + 5m = 5m + (-7 * -1 + 8m * -1) + -3m + 8
36 + 5m = 5m + (7 + -8m) + -3m + 8

Reorder the terms:
36 + 5m = 7 + 8 + 5m + -8m + -3m

Combine like terms: 7 + 8 = 15
36 + 5m = 15 + 5m + -8m + -3m

Combine like terms: 5m + -8m = -3m
36 + 5m = 15 + -3m + -3m

Combine like terms: -3m + -3m = -6m
36 + 5m = 15 + -6m

Solving
36 + 5m = 15 + -6m

Solving for variable 'm'.

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

Add '6m' to each side of the equation.
36 + 5m + 6m = 15 + -6m + 6m

Combine like terms: 5m + 6m = 11m
36 + 11m = 15 + -6m + 6m

Combine like terms: -6m + 6m = 0
36 + 11m = 15 + 0
36 + 11m = 15

Add '-36' to each side of the equation.
36 + -36 + 11m = 15 + -36

Combine like terms: 36 + -36 = 0
0 + 11m = 15 + -36
11m = 15 + -36

Combine like terms: 15 + -36 = -21
11m = -21

Divide each side by '11'.
m = -1.909090909

Simplifying
m = -1.909090909

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