-9m+16(-8m+7)=-17m-7(17m-11)

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Solution for -9m+16(-8m+7)=-17m-7(17m-11) equation:


Simplifying
-9m + 16(-8m + 7) = -17m + -7(17m + -11)

Reorder the terms:
-9m + 16(7 + -8m) = -17m + -7(17m + -11)
-9m + (7 * 16 + -8m * 16) = -17m + -7(17m + -11)
-9m + (112 + -128m) = -17m + -7(17m + -11)

Reorder the terms:
112 + -9m + -128m = -17m + -7(17m + -11)

Combine like terms: -9m + -128m = -137m
112 + -137m = -17m + -7(17m + -11)

Reorder the terms:
112 + -137m = -17m + -7(-11 + 17m)
112 + -137m = -17m + (-11 * -7 + 17m * -7)
112 + -137m = -17m + (77 + -119m)

Reorder the terms:
112 + -137m = 77 + -17m + -119m

Combine like terms: -17m + -119m = -136m
112 + -137m = 77 + -136m

Solving
112 + -137m = 77 + -136m

Solving for variable 'm'.

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

Add '136m' to each side of the equation.
112 + -137m + 136m = 77 + -136m + 136m

Combine like terms: -137m + 136m = -1m
112 + -1m = 77 + -136m + 136m

Combine like terms: -136m + 136m = 0
112 + -1m = 77 + 0
112 + -1m = 77

Add '-112' to each side of the equation.
112 + -112 + -1m = 77 + -112

Combine like terms: 112 + -112 = 0
0 + -1m = 77 + -112
-1m = 77 + -112

Combine like terms: 77 + -112 = -35
-1m = -35

Divide each side by '-1'.
m = 35

Simplifying
m = 35

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