6(m+1)-(m-2)=

Solution for 6(m+1)-(m-2)= equation:

Simplifying
6(m + 1) + -1(m + -2) = 0

Reorder the terms:
6(1 + m) + -1(m + -2) = 0
(1 * 6 + m * 6) + -1(m + -2) = 0
(6 + 6m) + -1(m + -2) = 0

Reorder the terms:
6 + 6m + -1(-2 + m) = 0
6 + 6m + (-2 * -1 + m * -1) = 0
6 + 6m + (2 + -1m) = 0

Reorder the terms:
6 + 2 + 6m + -1m = 0

Combine like terms: 6 + 2 = 8
8 + 6m + -1m = 0

Combine like terms: 6m + -1m = 5m
8 + 5m = 0

Solving
8 + 5m = 0

Solving for variable 'm'.

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

Add '-8' to each side of the equation.
8 + -8 + 5m = 0 + -8

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

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

Divide each side by '5'.
m = -1.6

Simplifying
m = -1.6