-9m+70-9(m-1)=6m-(7m-2)-5m+5

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Solution for -9m+70-9(m-1)=6m-(7m-2)-5m+5 equation: 


Simplifying
-9m + 70 + -9(m + -1) = 6m + -1(7m + -2) + -5m + 5

Reorder the terms:
-9m + 70 + -9(-1 + m) = 6m + -1(7m + -2) + -5m + 5
-9m + 70 + (-1 * -9 + m * -9) = 6m + -1(7m + -2) + -5m + 5
-9m + 70 + (9 + -9m) = 6m + -1(7m + -2) + -5m + 5

Reorder the terms:
70 + 9 + -9m + -9m = 6m + -1(7m + -2) + -5m + 5

Combine like terms: 70 + 9 = 79
79 + -9m + -9m = 6m + -1(7m + -2) + -5m + 5

Combine like terms: -9m + -9m = -18m
79 + -18m = 6m + -1(7m + -2) + -5m + 5

Reorder the terms:
79 + -18m = 6m + -1(-2 + 7m) + -5m + 5
79 + -18m = 6m + (-2 * -1 + 7m * -1) + -5m + 5
79 + -18m = 6m + (2 + -7m) + -5m + 5

Reorder the terms:
79 + -18m = 2 + 5 + 6m + -7m + -5m

Combine like terms: 2 + 5 = 7
79 + -18m = 7 + 6m + -7m + -5m

Combine like terms: 6m + -7m = -1m
79 + -18m = 7 + -1m + -5m

Combine like terms: -1m + -5m = -6m
79 + -18m = 7 + -6m

Solving
79 + -18m = 7 + -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.
79 + -18m + 6m = 7 + -6m + 6m

Combine like terms: -18m + 6m = -12m
79 + -12m = 7 + -6m + 6m

Combine like terms: -6m + 6m = 0
79 + -12m = 7 + 0
79 + -12m = 7

Add '-79' to each side of the equation.
79 + -79 + -12m = 7 + -79

Combine like terms: 79 + -79 = 0
0 + -12m = 7 + -79
-12m = 7 + -79

Combine like terms: 7 + -79 = -72
-12m = -72

Divide each side by '-12'.
m = 6

Simplifying
m = 6

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