6=3(t+4)-t

Solution for 6=3(t+4)-t equation:

Simplifying
6 = 3(t + 4) + -1t

Reorder the terms:
6 = 3(4 + t) + -1t
6 = (4 * 3 + t * 3) + -1t
6 = (12 + 3t) + -1t

Combine like terms: 3t + -1t = 2t
6 = 12 + 2t

Solving
6 = 12 + 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.
6 + -2t = 12 + 2t + -2t

Combine like terms: 2t + -2t = 0
6 + -2t = 12 + 0
6 + -2t = 12

Add '-6' to each side of the equation.
6 + -6 + -2t = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -2t = 12 + -6
-2t = 12 + -6

Combine like terms: 12 + -6 = 6
-2t = 6

Divide each side by '-2'.
t = -3

Simplifying
t = -3