t+(t+1)+(t+2)=45

Solution for t+(t+1)+(t+2)=45 equation:

Simplifying
t + (t + 1) + (t + 2) = 45

Reorder the terms:
t + (1 + t) + (t + 2) = 45

Remove parenthesis around (1 + t)
t + 1 + t + (t + 2) = 45

Reorder the terms:
t + 1 + t + (2 + t) = 45

Remove parenthesis around (2 + t)
t + 1 + t + 2 + t = 45

Reorder the terms:
1 + 2 + t + t + t = 45

Combine like terms: 1 + 2 = 3
3 + t + t + t = 45

Combine like terms: t + t = 2t
3 + 2t + t = 45

Combine like terms: 2t + t = 3t
3 + 3t = 45

Solving
3 + 3t = 45

Solving for variable 't'.

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

Add '-3' to each side of the equation.
3 + -3 + 3t = 45 + -3

Combine like terms: 3 + -3 = 0
0 + 3t = 45 + -3
3t = 45 + -3

Combine like terms: 45 + -3 = 42
3t = 42

Divide each side by '3'.
t = 14

Simplifying
t = 14