-9m+107-8(m-2)=7m-(2m-3)-5m+1

Solution for -9m+107-8(m-2)=7m-(2m-3)-5m+1 equation:

Simplifying
-9m + 107 + -8(m + -2) = 7m + -1(2m + -3) + -5m + 1

Reorder the terms:
-9m + 107 + -8(-2 + m) = 7m + -1(2m + -3) + -5m + 1
-9m + 107 + (-2 * -8 + m * -8) = 7m + -1(2m + -3) + -5m + 1
-9m + 107 + (16 + -8m) = 7m + -1(2m + -3) + -5m + 1

Reorder the terms:
107 + 16 + -9m + -8m = 7m + -1(2m + -3) + -5m + 1

Combine like terms: 107 + 16 = 123
123 + -9m + -8m = 7m + -1(2m + -3) + -5m + 1

Combine like terms: -9m + -8m = -17m
123 + -17m = 7m + -1(2m + -3) + -5m + 1

Reorder the terms:
123 + -17m = 7m + -1(-3 + 2m) + -5m + 1
123 + -17m = 7m + (-3 * -1 + 2m * -1) + -5m + 1
123 + -17m = 7m + (3 + -2m) + -5m + 1

Reorder the terms:
123 + -17m = 3 + 1 + 7m + -2m + -5m

Combine like terms: 3 + 1 = 4
123 + -17m = 4 + 7m + -2m + -5m

Combine like terms: 7m + -2m = 5m
123 + -17m = 4 + 5m + -5m

Combine like terms: 5m + -5m = 0
123 + -17m = 4 + 0
123 + -17m = 4

Solving
123 + -17m = 4

Solving for variable 'm'.

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

Add '-123' to each side of the equation.
123 + -123 + -17m = 4 + -123

Combine like terms: 123 + -123 = 0
0 + -17m = 4 + -123
-17m = 4 + -123

Combine like terms: 4 + -123 = -119
-17m = -119

Divide each side by '-17'.
m = 7

Simplifying
m = 7