-2m-18-3(m-3)=4m-(5m-2)-9m+9

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Solution for -2m-18-3(m-3)=4m-(5m-2)-9m+9 equation: 


Simplifying
-2m + -18 + -3(m + -3) = 4m + -1(5m + -2) + -9m + 9

Reorder the terms:
-2m + -18 + -3(-3 + m) = 4m + -1(5m + -2) + -9m + 9
-2m + -18 + (-3 * -3 + m * -3) = 4m + -1(5m + -2) + -9m + 9
-2m + -18 + (9 + -3m) = 4m + -1(5m + -2) + -9m + 9

Reorder the terms:
-18 + 9 + -2m + -3m = 4m + -1(5m + -2) + -9m + 9

Combine like terms: -18 + 9 = -9
-9 + -2m + -3m = 4m + -1(5m + -2) + -9m + 9

Combine like terms: -2m + -3m = -5m
-9 + -5m = 4m + -1(5m + -2) + -9m + 9

Reorder the terms:
-9 + -5m = 4m + -1(-2 + 5m) + -9m + 9
-9 + -5m = 4m + (-2 * -1 + 5m * -1) + -9m + 9
-9 + -5m = 4m + (2 + -5m) + -9m + 9

Reorder the terms:
-9 + -5m = 2 + 9 + 4m + -5m + -9m

Combine like terms: 2 + 9 = 11
-9 + -5m = 11 + 4m + -5m + -9m

Combine like terms: 4m + -5m = -1m
-9 + -5m = 11 + -1m + -9m

Combine like terms: -1m + -9m = -10m
-9 + -5m = 11 + -10m

Solving
-9 + -5m = 11 + -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.
-9 + -5m + 10m = 11 + -10m + 10m

Combine like terms: -5m + 10m = 5m
-9 + 5m = 11 + -10m + 10m

Combine like terms: -10m + 10m = 0
-9 + 5m = 11 + 0
-9 + 5m = 11

Add '9' to each side of the equation.
-9 + 9 + 5m = 11 + 9

Combine like terms: -9 + 9 = 0
0 + 5m = 11 + 9
5m = 11 + 9

Combine like terms: 11 + 9 = 20
5m = 20

Divide each side by '5'.
m = 4

Simplifying
m = 4

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