9(t+50)+15t=52.5

Solution for 9(t+50)+15t=52.5 equation:

Simplifying
9(t + 50) + 15t = 52.5

Reorder the terms:
9(50 + t) + 15t = 52.5
(50 * 9 + t * 9) + 15t = 52.5
(450 + 9t) + 15t = 52.5

Combine like terms: 9t + 15t = 24t
450 + 24t = 52.5

Solving
450 + 24t = 52.5

Solving for variable 't'.

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

Add '-450' to each side of the equation.
450 + -450 + 24t = 52.5 + -450

Combine like terms: 450 + -450 = 0
0 + 24t = 52.5 + -450
24t = 52.5 + -450

Combine like terms: 52.5 + -450 = -397.5
24t = -397.5

Divide each side by '24'.
t = -16.5625

Simplifying
t = -16.5625