4(t+16)+t=109

Solution for 4(t+16)+t=109 equation:

Simplifying
4(t + 16) + t = 109

Reorder the terms:
4(16 + t) + t = 109
(16 * 4 + t * 4) + t = 109
(64 + 4t) + t = 109

Combine like terms: 4t + t = 5t
64 + 5t = 109

Solving
64 + 5t = 109

Solving for variable 't'.

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

Add '-64' to each side of the equation.
64 + -64 + 5t = 109 + -64

Combine like terms: 64 + -64 = 0
0 + 5t = 109 + -64
5t = 109 + -64

Combine like terms: 109 + -64 = 45
5t = 45

Divide each side by '5'.
t = 9

Simplifying
t = 9