3(m+1)+2(2m+9)=0

Solution for 3(m+1)+2(2m+9)=0 equation:

Simplifying
3(m + 1) + 2(2m + 9) = 0

Reorder the terms:
3(1 + m) + 2(2m + 9) = 0
(1 * 3 + m * 3) + 2(2m + 9) = 0
(3 + 3m) + 2(2m + 9) = 0

Reorder the terms:
3 + 3m + 2(9 + 2m) = 0
3 + 3m + (9 * 2 + 2m * 2) = 0
3 + 3m + (18 + 4m) = 0

Reorder the terms:
3 + 18 + 3m + 4m = 0

Combine like terms: 3 + 18 = 21
21 + 3m + 4m = 0

Combine like terms: 3m + 4m = 7m
21 + 7m = 0

Solving
21 + 7m = 0

Solving for variable 'm'.

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

Add '-21' to each side of the equation.
21 + -21 + 7m = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 7m = 0 + -21
7m = 0 + -21

Combine like terms: 0 + -21 = -21
7m = -21

Divide each side by '7'.
m = -3

Simplifying
m = -3