3m+3(5m+2)=0

Solution for 3m+3(5m+2)=0 equation:

Simplifying
3m + 3(5m + 2) = 0

Reorder the terms:
3m + 3(2 + 5m) = 0
3m + (2 * 3 + 5m * 3) = 0
3m + (6 + 15m) = 0

Reorder the terms:
6 + 3m + 15m = 0

Combine like terms: 3m + 15m = 18m
6 + 18m = 0

Solving
6 + 18m = 0

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 + 18m = 0 + -6

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

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

Divide each side by '18'.
m = -0.3333333333

Simplifying
m = -0.3333333333