4(2m+6)+3(3+5m)=0

Solution for 4(2m+6)+3(3+5m)=0 equation:

Simplifying
4(2m + 6) + 3(3 + 5m) = 0

Reorder the terms:
4(6 + 2m) + 3(3 + 5m) = 0
(6 * 4 + 2m * 4) + 3(3 + 5m) = 0
(24 + 8m) + 3(3 + 5m) = 0
24 + 8m + (3 * 3 + 5m * 3) = 0
24 + 8m + (9 + 15m) = 0

Reorder the terms:
24 + 9 + 8m + 15m = 0

Combine like terms: 24 + 9 = 33
33 + 8m + 15m = 0

Combine like terms: 8m + 15m = 23m
33 + 23m = 0

Solving
33 + 23m = 0

Solving for variable 'm'.

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

Add '-33' to each side of the equation.
33 + -33 + 23m = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 23m = 0 + -33
23m = 0 + -33

Combine like terms: 0 + -33 = -33
23m = -33

Divide each side by '23'.
m = -1.434782609

Simplifying
m = -1.434782609