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

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

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

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

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

Solving
9 + 3t = -2 + 2t

Solving for variable 't'.

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

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

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

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

Add '-9' to each side of the equation.
9 + -9 + 1t = -2 + -9

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

Combine like terms: -2 + -9 = -11
1t = -11

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

Simplifying
t = -11