.15(m+30)=45

Solution for .15(m+30)=45 equation:

Simplifying
0.15(m + 30) = 45

Reorder the terms:
0.15(30 + m) = 45
(30 * 0.15 + m * 0.15) = 45
(4.5 + 0.15m) = 45

Solving
4.5 + 0.15m = 45

Solving for variable 'm'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.15m = 45 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.15m = 45 + -4.5
0.15m = 45 + -4.5

Combine like terms: 45 + -4.5 = 40.5
0.15m = 40.5

Divide each side by '0.15'.
m = 270

Simplifying
m = 270