(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 = -7
-7 + t + 2t = 34

Combine like terms: t + 2t = 3t
-7 + 3t = 34

Solving
-7 + 3t = 34

Solving for variable 't'.

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

Add '7' to each side of the equation.
-7 + 7 + 3t = 34 + 7

Combine like terms: -7 + 7 = 0
0 + 3t = 34 + 7
3t = 34 + 7

Combine like terms: 34 + 7 = 41
3t = 41

Divide each side by '3'.
t = 13.66666667

Simplifying
t = 13.66666667