0.09(t+50)+0.15t=52.5

Solution for 0.09(t+50)+0.15t=52.5 equation:

Simplifying
0.09(t + 50) + 0.15t = 52.5

Reorder the terms:
0.09(50 + t) + 0.15t = 52.5
(50 * 0.09 + t * 0.09) + 0.15t = 52.5
(4.5 + 0.09t) + 0.15t = 52.5

Combine like terms: 0.09t + 0.15t = 0.24t
4.5 + 0.24t = 52.5

Solving
4.5 + 0.24t = 52.5

Solving for variable 't'.

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

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.24t = 52.5 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.24t = 52.5 + -4.5
0.24t = 52.5 + -4.5

Combine like terms: 52.5 + -4.5 = 48
0.24t = 48

Divide each side by '0.24'.
t = 200

Simplifying
t = 200