3m-6(6m+1)=-171

Solution for 3m-6(6m+1)=-171 equation:

Simplifying
3m + -6(6m + 1) = -171

Reorder the terms:
3m + -6(1 + 6m) = -171
3m + (1 * -6 + 6m * -6) = -171
3m + (-6 + -36m) = -171

Reorder the terms:
-6 + 3m + -36m = -171

Combine like terms: 3m + -36m = -33m
-6 + -33m = -171

Solving
-6 + -33m = -171

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 6 + -33m = -171 + 6

Combine like terms: -6 + 6 = 0
0 + -33m = -171 + 6
-33m = -171 + 6

Combine like terms: -171 + 6 = -165
-33m = -165

Divide each side by '-33'.
m = 5

Simplifying
m = 5