3(t+3)-2(t-1)=0

Solution for 3(t+3)-2(t-1)=0 equation:

Simplifying
3(t + 3) + -2(t + -1) = 0

Reorder the terms:
3(3 + t) + -2(t + -1) = 0
(3 * 3 + t * 3) + -2(t + -1) = 0
(9 + 3t) + -2(t + -1) = 0

Reorder the terms:
9 + 3t + -2(-1 + t) = 0
9 + 3t + (-1 * -2 + t * -2) = 0
9 + 3t + (2 + -2t) = 0

Reorder the terms:
9 + 2 + 3t + -2t = 0

Combine like terms: 9 + 2 = 11
11 + 3t + -2t = 0

Combine like terms: 3t + -2t = 1t
11 + 1t = 0

Solving
11 + 1t = 0

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + 1t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 1t = 0 + -11
1t = 0 + -11

Combine like terms: 0 + -11 = -11
1t = -11

Divide each side by '1'.
t = -11

Simplifying
t = -11