3(t-3)+5(t+3)=32

Solution for 3(t-3)+5(t+3)=32 equation:

Simplifying
3(t + -3) + 5(t + 3) = 32

Reorder the terms:
3(-3 + t) + 5(t + 3) = 32
(-3 * 3 + t * 3) + 5(t + 3) = 32
(-9 + 3t) + 5(t + 3) = 32

Reorder the terms:
-9 + 3t + 5(3 + t) = 32
-9 + 3t + (3 * 5 + t * 5) = 32
-9 + 3t + (15 + 5t) = 32

Reorder the terms:
-9 + 15 + 3t + 5t = 32

Combine like terms: -9 + 15 = 6
6 + 3t + 5t = 32

Combine like terms: 3t + 5t = 8t
6 + 8t = 32

Solving
6 + 8t = 32

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + 8t = 32 + -6

Combine like terms: 6 + -6 = 0
0 + 8t = 32 + -6
8t = 32 + -6

Combine like terms: 32 + -6 = 26
8t = 26

Divide each side by '8'.
t = 3.25

Simplifying
t = 3.25