11(m+10)+12(-5m-1)=9m-9m

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Solution for 11(m+10)+12(-5m-1)=9m-9m equation:


Simplifying
11(m + 10) + 12(-5m + -1) = 9m + -9m

Reorder the terms:
11(10 + m) + 12(-5m + -1) = 9m + -9m
(10 * 11 + m * 11) + 12(-5m + -1) = 9m + -9m
(110 + 11m) + 12(-5m + -1) = 9m + -9m

Reorder the terms:
110 + 11m + 12(-1 + -5m) = 9m + -9m
110 + 11m + (-1 * 12 + -5m * 12) = 9m + -9m
110 + 11m + (-12 + -60m) = 9m + -9m

Reorder the terms:
110 + -12 + 11m + -60m = 9m + -9m

Combine like terms: 110 + -12 = 98
98 + 11m + -60m = 9m + -9m

Combine like terms: 11m + -60m = -49m
98 + -49m = 9m + -9m

Combine like terms: 9m + -9m = 0
98 + -49m = 0

Solving
98 + -49m = 0

Solving for variable 'm'.

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

Add '-98' to each side of the equation.
98 + -98 + -49m = 0 + -98

Combine like terms: 98 + -98 = 0
0 + -49m = 0 + -98
-49m = 0 + -98

Combine like terms: 0 + -98 = -98
-49m = -98

Divide each side by '-49'.
m = 2

Simplifying
m = 2

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