.25(t+16)+t=109

Solution for .25(t+16)+t=109 equation:

Simplifying
0.25(t + 16) + t = 109

Reorder the terms:
0.25(16 + t) + t = 109
(16 * 0.25 + t * 0.25) + t = 109
(4 + 0.25t) + t = 109

Combine like terms: 0.25t + t = 1.25t
4 + 1.25t = 109

Solving
4 + 1.25t = 109

Solving for variable 't'.

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

Add '-4' to each side of the equation.
4 + -4 + 1.25t = 109 + -4

Combine like terms: 4 + -4 = 0
0 + 1.25t = 109 + -4
1.25t = 109 + -4

Combine like terms: 109 + -4 = 105
1.25t = 105

Divide each side by '1.25'.
t = 84

Simplifying
t = 84