2(3+4m)-1=45

Solution for 2(3+4m)-1=45 equation:

Simplifying
2(3 + 4m) + -1 = 45
(3 * 2 + 4m * 2) + -1 = 45
(6 + 8m) + -1 = 45

Reorder the terms:
6 + -1 + 8m = 45

Combine like terms: 6 + -1 = 5
5 + 8m = 45

Solving
5 + 8m = 45

Solving for variable 'm'.

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

Add '-5' to each side of the equation.
5 + -5 + 8m = 45 + -5

Combine like terms: 5 + -5 = 0
0 + 8m = 45 + -5
8m = 45 + -5

Combine like terms: 45 + -5 = 40
8m = 40

Divide each side by '8'.
m = 5

Simplifying
m = 5