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

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

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

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

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

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

Reorder the terms:
27 + 4m = (-1 + m) + 1

Remove parenthesis around (-1 + m)
27 + 4m = -1 + m + 1

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

Combine like terms: -1 + 1 = 0
27 + 4m = 0 + m
27 + 4m = m

Solving
27 + 4m = m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
27 + 4m + -1m = m + -1m

Combine like terms: 4m + -1m = 3m
27 + 3m = m + -1m

Combine like terms: m + -1m = 0
27 + 3m = 0

Add '-27' to each side of the equation.
27 + -27 + 3m = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 3m = 0 + -27
3m = 0 + -27

Combine like terms: 0 + -27 = -27
3m = -27

Divide each side by '3'.
m = -9

Simplifying
m = -9