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

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


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

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

Combine like terms: 2 + 3 = 5
5 + -3m = 10 + -1(9m + 1)

Reorder the terms:
5 + -3m = 10 + -1(1 + 9m)
5 + -3m = 10 + (1 * -1 + 9m * -1)
5 + -3m = 10 + (-1 + -9m)

Combine like terms: 10 + -1 = 9
5 + -3m = 9 + -9m

Solving
5 + -3m = 9 + -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.
5 + -3m + 9m = 9 + -9m + 9m

Combine like terms: -3m + 9m = 6m
5 + 6m = 9 + -9m + 9m

Combine like terms: -9m + 9m = 0
5 + 6m = 9 + 0
5 + 6m = 9

Add '-5' to each side of the equation.
5 + -5 + 6m = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 6m = 9 + -5
6m = 9 + -5

Combine like terms: 9 + -5 = 4
6m = 4

Divide each side by '6'.
m = 0.6666666667

Simplifying
m = 0.6666666667

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