-6m+33-7(m-1)=4m-(2m-7)-7m+9

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Solution for -6m+33-7(m-1)=4m-(2m-7)-7m+9 equation:


Simplifying
-6m + 33 + -7(m + -1) = 4m + -1(2m + -7) + -7m + 9

Reorder the terms:
-6m + 33 + -7(-1 + m) = 4m + -1(2m + -7) + -7m + 9
-6m + 33 + (-1 * -7 + m * -7) = 4m + -1(2m + -7) + -7m + 9
-6m + 33 + (7 + -7m) = 4m + -1(2m + -7) + -7m + 9

Reorder the terms:
33 + 7 + -6m + -7m = 4m + -1(2m + -7) + -7m + 9

Combine like terms: 33 + 7 = 40
40 + -6m + -7m = 4m + -1(2m + -7) + -7m + 9

Combine like terms: -6m + -7m = -13m
40 + -13m = 4m + -1(2m + -7) + -7m + 9

Reorder the terms:
40 + -13m = 4m + -1(-7 + 2m) + -7m + 9
40 + -13m = 4m + (-7 * -1 + 2m * -1) + -7m + 9
40 + -13m = 4m + (7 + -2m) + -7m + 9

Reorder the terms:
40 + -13m = 7 + 9 + 4m + -2m + -7m

Combine like terms: 7 + 9 = 16
40 + -13m = 16 + 4m + -2m + -7m

Combine like terms: 4m + -2m = 2m
40 + -13m = 16 + 2m + -7m

Combine like terms: 2m + -7m = -5m
40 + -13m = 16 + -5m

Solving
40 + -13m = 16 + -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.
40 + -13m + 5m = 16 + -5m + 5m

Combine like terms: -13m + 5m = -8m
40 + -8m = 16 + -5m + 5m

Combine like terms: -5m + 5m = 0
40 + -8m = 16 + 0
40 + -8m = 16

Add '-40' to each side of the equation.
40 + -40 + -8m = 16 + -40

Combine like terms: 40 + -40 = 0
0 + -8m = 16 + -40
-8m = 16 + -40

Combine like terms: 16 + -40 = -24
-8m = -24

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

Simplifying
m = 3

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