3(t+1)=9+t

Solution for 3(t+1)=9+t equation:

Simplifying
3(t + 1) = 9 + t

Reorder the terms:
3(1 + t) = 9 + t
(1 * 3 + t * 3) = 9 + t
(3 + 3t) = 9 + t

Solving
3 + 3t = 9 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
3 + 3t + -1t = 9 + t + -1t

Combine like terms: 3t + -1t = 2t
3 + 2t = 9 + t + -1t

Combine like terms: t + -1t = 0
3 + 2t = 9 + 0
3 + 2t = 9

Add '-3' to each side of the equation.
3 + -3 + 2t = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 2t = 9 + -3
2t = 9 + -3

Combine like terms: 9 + -3 = 6
2t = 6

Divide each side by '2'.
t = 3

Simplifying
t = 3