10m-3(2m-9)=-9+9m+1

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Solution for 10m-3(2m-9)=-9+9m+1 equation: 


Simplifying
10m + -3(2m + -9) = -9 + 9m + 1

Reorder the terms:
10m + -3(-9 + 2m) = -9 + 9m + 1
10m + (-9 * -3 + 2m * -3) = -9 + 9m + 1
10m + (27 + -6m) = -9 + 9m + 1

Reorder the terms:
27 + 10m + -6m = -9 + 9m + 1

Combine like terms: 10m + -6m = 4m
27 + 4m = -9 + 9m + 1

Reorder the terms:
27 + 4m = -9 + 1 + 9m

Combine like terms: -9 + 1 = -8
27 + 4m = -8 + 9m

Solving
27 + 4m = -8 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
27 + 4m + -9m = -8 + 9m + -9m

Combine like terms: 4m + -9m = -5m
27 + -5m = -8 + 9m + -9m

Combine like terms: 9m + -9m = 0
27 + -5m = -8 + 0
27 + -5m = -8

Add '-27' to each side of the equation.
27 + -27 + -5m = -8 + -27

Combine like terms: 27 + -27 = 0
0 + -5m = -8 + -27
-5m = -8 + -27

Combine like terms: -8 + -27 = -35
-5m = -35

Divide each side by '-5'.
m = 7

Simplifying
m = 7

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