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

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

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

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

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

Solving
3 + 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.
3 + 3t + 2t = -2 + -2t + 2t

Combine like terms: 3t + 2t = 5t
3 + 5t = -2 + -2t + 2t

Combine like terms: -2t + 2t = 0
3 + 5t = -2 + 0
3 + 5t = -2

Add '-3' to each side of the equation.
3 + -3 + 5t = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 5t = -2 + -3
5t = -2 + -3

Combine like terms: -2 + -3 = -5
5t = -5

Divide each side by '5'.
t = -1

Simplifying
t = -1