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

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

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

Reorder the terms:
0 = 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)

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

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

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

Solving
0 = 33 + 23m

Solving for variable 'm'.

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

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

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

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

Simplifying
m = -1.434782609