-2m+3-7(m-6)=9m-(6m-9)-8m+8

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Solution for -2m+3-7(m-6)=9m-(6m-9)-8m+8 equation:


Simplifying
-2m + 3 + -7(m + -6) = 9m + -1(6m + -9) + -8m + 8

Reorder the terms:
-2m + 3 + -7(-6 + m) = 9m + -1(6m + -9) + -8m + 8
-2m + 3 + (-6 * -7 + m * -7) = 9m + -1(6m + -9) + -8m + 8
-2m + 3 + (42 + -7m) = 9m + -1(6m + -9) + -8m + 8

Reorder the terms:
3 + 42 + -2m + -7m = 9m + -1(6m + -9) + -8m + 8

Combine like terms: 3 + 42 = 45
45 + -2m + -7m = 9m + -1(6m + -9) + -8m + 8

Combine like terms: -2m + -7m = -9m
45 + -9m = 9m + -1(6m + -9) + -8m + 8

Reorder the terms:
45 + -9m = 9m + -1(-9 + 6m) + -8m + 8
45 + -9m = 9m + (-9 * -1 + 6m * -1) + -8m + 8
45 + -9m = 9m + (9 + -6m) + -8m + 8

Reorder the terms:
45 + -9m = 9 + 8 + 9m + -6m + -8m

Combine like terms: 9 + 8 = 17
45 + -9m = 17 + 9m + -6m + -8m

Combine like terms: 9m + -6m = 3m
45 + -9m = 17 + 3m + -8m

Combine like terms: 3m + -8m = -5m
45 + -9m = 17 + -5m

Solving
45 + -9m = 17 + -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.
45 + -9m + 5m = 17 + -5m + 5m

Combine like terms: -9m + 5m = -4m
45 + -4m = 17 + -5m + 5m

Combine like terms: -5m + 5m = 0
45 + -4m = 17 + 0
45 + -4m = 17

Add '-45' to each side of the equation.
45 + -45 + -4m = 17 + -45

Combine like terms: 45 + -45 = 0
0 + -4m = 17 + -45
-4m = 17 + -45

Combine like terms: 17 + -45 = -28
-4m = -28

Divide each side by '-4'.
m = 7

Simplifying
m = 7

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