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

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

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

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

Reorder the terms:
3 + 3t = 3(-3 + 2t)
3 + 3t = (-3 * 3 + 2t * 3)
3 + 3t = (-9 + 6t)

Solving
3 + 3t = -9 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
3 + 3t + -6t = -9 + 6t + -6t

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

Combine like terms: 6t + -6t = 0
3 + -3t = -9 + 0
3 + -3t = -9

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

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

Combine like terms: -9 + -3 = -12
-3t = -12

Divide each side by '-3'.
t = 4

Simplifying
t = 4