15-11(3m-2)+4(8m-9)-10=

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Solution for 15-11(3m-2)+4(8m-9)-10= equation: 


Simplifying
15 + -11(3m + -2) + 4(8m + -9) + -10 = 0

Reorder the terms:
15 + -11(-2 + 3m) + 4(8m + -9) + -10 = 0
15 + (-2 * -11 + 3m * -11) + 4(8m + -9) + -10 = 0
15 + (22 + -33m) + 4(8m + -9) + -10 = 0

Reorder the terms:
15 + 22 + -33m + 4(-9 + 8m) + -10 = 0
15 + 22 + -33m + (-9 * 4 + 8m * 4) + -10 = 0
15 + 22 + -33m + (-36 + 32m) + -10 = 0

Reorder the terms:
15 + 22 + -36 + -10 + -33m + 32m = 0

Combine like terms: 15 + 22 = 37
37 + -36 + -10 + -33m + 32m = 0

Combine like terms: 37 + -36 = 1
1 + -10 + -33m + 32m = 0

Combine like terms: 1 + -10 = -9
-9 + -33m + 32m = 0

Combine like terms: -33m + 32m = -1m
-9 + -1m = 0

Solving
-9 + -1m = 0

Solving for variable 'm'.

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

Add '9' to each side of the equation.
-9 + 9 + -1m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1m = 0 + 9
-1m = 0 + 9

Combine like terms: 0 + 9 = 9
-1m = 9

Divide each side by '-1'.
m = -9

Simplifying
m = -9

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