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

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Solution for -2m-2-3(m-1)=8m-(6m-1)-9m+6 equation:


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

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

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

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

Combine like terms: -2m + -3m = -5m
1 + -5m = 8m + -1(6m + -1) + -9m + 6

Reorder the terms:
1 + -5m = 8m + -1(-1 + 6m) + -9m + 6
1 + -5m = 8m + (-1 * -1 + 6m * -1) + -9m + 6
1 + -5m = 8m + (1 + -6m) + -9m + 6

Reorder the terms:
1 + -5m = 1 + 6 + 8m + -6m + -9m

Combine like terms: 1 + 6 = 7
1 + -5m = 7 + 8m + -6m + -9m

Combine like terms: 8m + -6m = 2m
1 + -5m = 7 + 2m + -9m

Combine like terms: 2m + -9m = -7m
1 + -5m = 7 + -7m

Solving
1 + -5m = 7 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
1 + -5m + 7m = 7 + -7m + 7m

Combine like terms: -5m + 7m = 2m
1 + 2m = 7 + -7m + 7m

Combine like terms: -7m + 7m = 0
1 + 2m = 7 + 0
1 + 2m = 7

Add '-1' to each side of the equation.
1 + -1 + 2m = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 2m = 7 + -1
2m = 7 + -1

Combine like terms: 7 + -1 = 6
2m = 6

Divide each side by '2'.
m = 3

Simplifying
m = 3

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