110m-3(2m-9)=9(m-1)+1

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Solution for 110m-3(2m-9)=9(m-1)+1 equation:


Simplifying
110m + -3(2m + -9) = 9(m + -1) + 1

Reorder the terms:
110m + -3(-9 + 2m) = 9(m + -1) + 1
110m + (-9 * -3 + 2m * -3) = 9(m + -1) + 1
110m + (27 + -6m) = 9(m + -1) + 1

Reorder the terms:
27 + 110m + -6m = 9(m + -1) + 1

Combine like terms: 110m + -6m = 104m
27 + 104m = 9(m + -1) + 1

Reorder the terms:
27 + 104m = 9(-1 + m) + 1
27 + 104m = (-1 * 9 + m * 9) + 1
27 + 104m = (-9 + 9m) + 1

Reorder the terms:
27 + 104m = -9 + 1 + 9m

Combine like terms: -9 + 1 = -8
27 + 104m = -8 + 9m

Solving
27 + 104m = -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 + 104m + -9m = -8 + 9m + -9m

Combine like terms: 104m + -9m = 95m
27 + 95m = -8 + 9m + -9m

Combine like terms: 9m + -9m = 0
27 + 95m = -8 + 0
27 + 95m = -8

Add '-27' to each side of the equation.
27 + -27 + 95m = -8 + -27

Combine like terms: 27 + -27 = 0
0 + 95m = -8 + -27
95m = -8 + -27

Combine like terms: -8 + -27 = -35
95m = -35

Divide each side by '95'.
m = -0.3684210526

Simplifying
m = -0.3684210526

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