-9m+24-9(m-2)=3m-(8m-4)-7m+2

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Solution for -9m+24-9(m-2)=3m-(8m-4)-7m+2 equation: 


Simplifying
-9m + 24 + -9(m + -2) = 3m + -1(8m + -4) + -7m + 2

Reorder the terms:
-9m + 24 + -9(-2 + m) = 3m + -1(8m + -4) + -7m + 2
-9m + 24 + (-2 * -9 + m * -9) = 3m + -1(8m + -4) + -7m + 2
-9m + 24 + (18 + -9m) = 3m + -1(8m + -4) + -7m + 2

Reorder the terms:
24 + 18 + -9m + -9m = 3m + -1(8m + -4) + -7m + 2

Combine like terms: 24 + 18 = 42
42 + -9m + -9m = 3m + -1(8m + -4) + -7m + 2

Combine like terms: -9m + -9m = -18m
42 + -18m = 3m + -1(8m + -4) + -7m + 2

Reorder the terms:
42 + -18m = 3m + -1(-4 + 8m) + -7m + 2
42 + -18m = 3m + (-4 * -1 + 8m * -1) + -7m + 2
42 + -18m = 3m + (4 + -8m) + -7m + 2

Reorder the terms:
42 + -18m = 4 + 2 + 3m + -8m + -7m

Combine like terms: 4 + 2 = 6
42 + -18m = 6 + 3m + -8m + -7m

Combine like terms: 3m + -8m = -5m
42 + -18m = 6 + -5m + -7m

Combine like terms: -5m + -7m = -12m
42 + -18m = 6 + -12m

Solving
42 + -18m = 6 + -12m

Solving for variable 'm'.

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

Add '12m' to each side of the equation.
42 + -18m + 12m = 6 + -12m + 12m

Combine like terms: -18m + 12m = -6m
42 + -6m = 6 + -12m + 12m

Combine like terms: -12m + 12m = 0
42 + -6m = 6 + 0
42 + -6m = 6

Add '-42' to each side of the equation.
42 + -42 + -6m = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -6m = 6 + -42
-6m = 6 + -42

Combine like terms: 6 + -42 = -36
-6m = -36

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

Simplifying
m = 6

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