9(m+8)-2(9m-4)=-10(m-6)-10

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Solution for 9(m+8)-2(9m-4)=-10(m-6)-10 equation:


Simplifying
9(m + 8) + -2(9m + -4) = -10(m + -6) + -10

Reorder the terms:
9(8 + m) + -2(9m + -4) = -10(m + -6) + -10
(8 * 9 + m * 9) + -2(9m + -4) = -10(m + -6) + -10
(72 + 9m) + -2(9m + -4) = -10(m + -6) + -10

Reorder the terms:
72 + 9m + -2(-4 + 9m) = -10(m + -6) + -10
72 + 9m + (-4 * -2 + 9m * -2) = -10(m + -6) + -10
72 + 9m + (8 + -18m) = -10(m + -6) + -10

Reorder the terms:
72 + 8 + 9m + -18m = -10(m + -6) + -10

Combine like terms: 72 + 8 = 80
80 + 9m + -18m = -10(m + -6) + -10

Combine like terms: 9m + -18m = -9m
80 + -9m = -10(m + -6) + -10

Reorder the terms:
80 + -9m = -10(-6 + m) + -10
80 + -9m = (-6 * -10 + m * -10) + -10
80 + -9m = (60 + -10m) + -10

Reorder the terms:
80 + -9m = 60 + -10 + -10m

Combine like terms: 60 + -10 = 50
80 + -9m = 50 + -10m

Solving
80 + -9m = 50 + -10m

Solving for variable 'm'.

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

Add '10m' to each side of the equation.
80 + -9m + 10m = 50 + -10m + 10m

Combine like terms: -9m + 10m = 1m
80 + 1m = 50 + -10m + 10m

Combine like terms: -10m + 10m = 0
80 + 1m = 50 + 0
80 + 1m = 50

Add '-80' to each side of the equation.
80 + -80 + 1m = 50 + -80

Combine like terms: 80 + -80 = 0
0 + 1m = 50 + -80
1m = 50 + -80

Combine like terms: 50 + -80 = -30
1m = -30

Divide each side by '1'.
m = -30

Simplifying
m = -30

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