7(t+8.5)-5t=0

Solution for 7(t+8.5)-5t=0 equation:

Simplifying
7(t + 8.5) + -5t = 0

Reorder the terms:
7(8.5 + t) + -5t = 0
(8.5 * 7 + t * 7) + -5t = 0
(59.5 + 7t) + -5t = 0

Combine like terms: 7t + -5t = 2t
59.5 + 2t = 0

Solving
59.5 + 2t = 0

Solving for variable 't'.

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

Add '-59.5' to each side of the equation.
59.5 + -59.5 + 2t = 0 + -59.5

Combine like terms: 59.5 + -59.5 = 0.0
0.0 + 2t = 0 + -59.5
2t = 0 + -59.5

Combine like terms: 0 + -59.5 = -59.5
2t = -59.5

Divide each side by '2'.
t = -29.75

Simplifying
t = -29.75