-7m+33-2(m-1)=8m-(4m-3)-5m+8

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Solution for -7m+33-2(m-1)=8m-(4m-3)-5m+8 equation: 


Simplifying
-7m + 33 + -2(m + -1) = 8m + -1(4m + -3) + -5m + 8

Reorder the terms:
-7m + 33 + -2(-1 + m) = 8m + -1(4m + -3) + -5m + 8
-7m + 33 + (-1 * -2 + m * -2) = 8m + -1(4m + -3) + -5m + 8
-7m + 33 + (2 + -2m) = 8m + -1(4m + -3) + -5m + 8

Reorder the terms:
33 + 2 + -7m + -2m = 8m + -1(4m + -3) + -5m + 8

Combine like terms: 33 + 2 = 35
35 + -7m + -2m = 8m + -1(4m + -3) + -5m + 8

Combine like terms: -7m + -2m = -9m
35 + -9m = 8m + -1(4m + -3) + -5m + 8

Reorder the terms:
35 + -9m = 8m + -1(-3 + 4m) + -5m + 8
35 + -9m = 8m + (-3 * -1 + 4m * -1) + -5m + 8
35 + -9m = 8m + (3 + -4m) + -5m + 8

Reorder the terms:
35 + -9m = 3 + 8 + 8m + -4m + -5m

Combine like terms: 3 + 8 = 11
35 + -9m = 11 + 8m + -4m + -5m

Combine like terms: 8m + -4m = 4m
35 + -9m = 11 + 4m + -5m

Combine like terms: 4m + -5m = -1m
35 + -9m = 11 + -1m

Solving
35 + -9m = 11 + -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.
35 + -9m + m = 11 + -1m + m

Combine like terms: -9m + m = -8m
35 + -8m = 11 + -1m + m

Combine like terms: -1m + m = 0
35 + -8m = 11 + 0
35 + -8m = 11

Add '-35' to each side of the equation.
35 + -35 + -8m = 11 + -35

Combine like terms: 35 + -35 = 0
0 + -8m = 11 + -35
-8m = 11 + -35

Combine like terms: 11 + -35 = -24
-8m = -24

Divide each side by '-8'.
m = 3

Simplifying
m = 3

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