(t+1)+(t-8)=45

Solution for (t+1)+(t-8)=45 equation:

Simplifying
(t + 1) + (t + -8) = 45

Reorder the terms:
(1 + t) + (t + -8) = 45

Remove parenthesis around (1 + t)
1 + t + (t + -8) = 45

Reorder the terms:
1 + t + (-8 + t) = 45

Remove parenthesis around (-8 + t)
1 + t + -8 + t = 45

Reorder the terms:
1 + -8 + t + t = 45

Combine like terms: 1 + -8 = -7
-7 + t + t = 45

Combine like terms: t + t = 2t
-7 + 2t = 45

Solving
-7 + 2t = 45

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 + 2t = 45 + 7

Combine like terms: -7 + 7 = 0
0 + 2t = 45 + 7
2t = 45 + 7

Combine like terms: 45 + 7 = 52
2t = 52

Divide each side by '2'.
t = 26

Simplifying
t = 26