-3m+13-8(m-1)=8m-(2m-4)-9m+1

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Solution for -3m+13-8(m-1)=8m-(2m-4)-9m+1 equation:


Simplifying
-3m + 13 + -8(m + -1) = 8m + -1(2m + -4) + -9m + 1

Reorder the terms:
-3m + 13 + -8(-1 + m) = 8m + -1(2m + -4) + -9m + 1
-3m + 13 + (-1 * -8 + m * -8) = 8m + -1(2m + -4) + -9m + 1
-3m + 13 + (8 + -8m) = 8m + -1(2m + -4) + -9m + 1

Reorder the terms:
13 + 8 + -3m + -8m = 8m + -1(2m + -4) + -9m + 1

Combine like terms: 13 + 8 = 21
21 + -3m + -8m = 8m + -1(2m + -4) + -9m + 1

Combine like terms: -3m + -8m = -11m
21 + -11m = 8m + -1(2m + -4) + -9m + 1

Reorder the terms:
21 + -11m = 8m + -1(-4 + 2m) + -9m + 1
21 + -11m = 8m + (-4 * -1 + 2m * -1) + -9m + 1
21 + -11m = 8m + (4 + -2m) + -9m + 1

Reorder the terms:
21 + -11m = 4 + 1 + 8m + -2m + -9m

Combine like terms: 4 + 1 = 5
21 + -11m = 5 + 8m + -2m + -9m

Combine like terms: 8m + -2m = 6m
21 + -11m = 5 + 6m + -9m

Combine like terms: 6m + -9m = -3m
21 + -11m = 5 + -3m

Solving
21 + -11m = 5 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
21 + -11m + 3m = 5 + -3m + 3m

Combine like terms: -11m + 3m = -8m
21 + -8m = 5 + -3m + 3m

Combine like terms: -3m + 3m = 0
21 + -8m = 5 + 0
21 + -8m = 5

Add '-21' to each side of the equation.
21 + -21 + -8m = 5 + -21

Combine like terms: 21 + -21 = 0
0 + -8m = 5 + -21
-8m = 5 + -21

Combine like terms: 5 + -21 = -16
-8m = -16

Divide each side by '-8'.
m = 2

Simplifying
m = 2

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