2(3+4m)-9=45

Solution for 2(3+4m)-9=45 equation:

Simplifying
2(3 + 4m) + -9 = 45
(3 * 2 + 4m * 2) + -9 = 45
(6 + 8m) + -9 = 45

Reorder the terms:
6 + -9 + 8m = 45

Combine like terms: 6 + -9 = -3
-3 + 8m = 45

Solving
-3 + 8m = 45

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + 3 + 8m = 45 + 3

Combine like terms: -3 + 3 = 0
0 + 8m = 45 + 3
8m = 45 + 3

Combine like terms: 45 + 3 = 48
8m = 48

Divide each side by '8'.
m = 6

Simplifying
m = 6