-3m+3(1+8m)=171

Solution for -3m+3(1+8m)=171 equation:

Simplifying
-3m + 3(1 + 8m) = 171
-3m + (1 * 3 + 8m * 3) = 171
-3m + (3 + 24m) = 171

Reorder the terms:
3 + -3m + 24m = 171

Combine like terms: -3m + 24m = 21m
3 + 21m = 171

Solving
3 + 21m = 171

Solving for variable 'm'.

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

Add '-3' to each side of the equation.
3 + -3 + 21m = 171 + -3

Combine like terms: 3 + -3 = 0
0 + 21m = 171 + -3
21m = 171 + -3

Combine like terms: 171 + -3 = 168
21m = 168

Divide each side by '21'.
m = 8

Simplifying
m = 8