8m-(7m-6)=2(m+9)

Solution for 8m-(7m-6)=2(m+9) equation:

Simplifying
8m + -1(7m + -6) = 2(m + 9)

Reorder the terms:
8m + -1(-6 + 7m) = 2(m + 9)
8m + (-6 * -1 + 7m * -1) = 2(m + 9)
8m + (6 + -7m) = 2(m + 9)

Reorder the terms:
6 + 8m + -7m = 2(m + 9)

Combine like terms: 8m + -7m = 1m
6 + 1m = 2(m + 9)

Reorder the terms:
6 + 1m = 2(9 + m)
6 + 1m = (9 * 2 + m * 2)
6 + 1m = (18 + 2m)

Solving
6 + 1m = 18 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
6 + 1m + -2m = 18 + 2m + -2m

Combine like terms: 1m + -2m = -1m
6 + -1m = 18 + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + -1m = 18 + 0
6 + -1m = 18

Add '-6' to each side of the equation.
6 + -6 + -1m = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 18 + -6
-1m = 18 + -6

Combine like terms: 18 + -6 = 12
-1m = 12

Divide each side by '-1'.
m = -12

Simplifying
m = -12