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

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

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

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

Reorder the terms:
3 + 3t = -1 + 2(-3 + t)
3 + 3t = -1 + (-3 * 2 + t * 2)
3 + 3t = -1 + (-6 + 2t)

Combine like terms: -1 + -6 = -7
3 + 3t = -7 + 2t

Solving
3 + 3t = -7 + 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 = -7 + 2t + -2t

Combine like terms: 3t + -2t = 1t
3 + 1t = -7 + 2t + -2t

Combine like terms: 2t + -2t = 0
3 + 1t = -7 + 0
3 + 1t = -7

Add '-3' to each side of the equation.
3 + -3 + 1t = -7 + -3

Combine like terms: 3 + -3 = 0
0 + 1t = -7 + -3
1t = -7 + -3

Combine like terms: -7 + -3 = -10
1t = -10

Divide each side by '1'.
t = -10

Simplifying
t = -10