3(t+4)=(t-1)

Solution for 3(t+4)=(t-1) equation:

Simplifying
3(t + 4) = (t + -1)

Reorder the terms:
3(4 + t) = (t + -1)
(4 * 3 + t * 3) = (t + -1)
(12 + 3t) = (t + -1)

Reorder the terms:
12 + 3t = (-1 + t)

Remove parenthesis around (-1 + t)
12 + 3t = -1 + t

Solving
12 + 3t = -1 + 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.
12 + 3t + -1t = -1 + t + -1t

Combine like terms: 3t + -1t = 2t
12 + 2t = -1 + t + -1t

Combine like terms: t + -1t = 0
12 + 2t = -1 + 0
12 + 2t = -1

Add '-12' to each side of the equation.
12 + -12 + 2t = -1 + -12

Combine like terms: 12 + -12 = 0
0 + 2t = -1 + -12
2t = -1 + -12

Combine like terms: -1 + -12 = -13
2t = -13

Divide each side by '2'.
t = -6.5

Simplifying
t = -6.5