(t+3)+2(t+5)=34

Solution for (t+3)+2(t+5)=34 equation:

Simplifying
(t + 3) + 2(t + 5) = 34

Reorder the terms:
(3 + t) + 2(t + 5) = 34

Remove parenthesis around (3 + t)
3 + t + 2(t + 5) = 34

Reorder the terms:
3 + t + 2(5 + t) = 34
3 + t + (5 * 2 + t * 2) = 34
3 + t + (10 + 2t) = 34

Reorder the terms:
3 + 10 + t + 2t = 34

Combine like terms: 3 + 10 = 13
13 + t + 2t = 34

Combine like terms: t + 2t = 3t
13 + 3t = 34

Solving
13 + 3t = 34

Solving for variable 't'.

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

Add '-13' to each side of the equation.
13 + -13 + 3t = 34 + -13

Combine like terms: 13 + -13 = 0
0 + 3t = 34 + -13
3t = 34 + -13

Combine like terms: 34 + -13 = 21
3t = 21

Divide each side by '3'.
t = 7

Simplifying
t = 7