3(t+1)=t-7

Solution for 3(t+1)=t-7 equation:

Simplifying
3(t + 1) = t + -7

Reorder the terms:
3(1 + t) = t + -7
(1 * 3 + t * 3) = t + -7
(3 + 3t) = t + -7

Reorder the terms:
3 + 3t = -7 + t

Solving
3 + 3t = -7 + t

Solving for variable 't'.

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + 2t = -7 + -3

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

Combine like terms: -7 + -3 = -10
2t = -10

Divide each side by '2'.
t = -5

Simplifying
t = -5