6=3(t-4)+t

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

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

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

Combine like terms: 3t + t = 4t
6 = -12 + 4t

Solving
6 = -12 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
6 + -4t = -12 + 4t + -4t

Combine like terms: 4t + -4t = 0
6 + -4t = -12 + 0
6 + -4t = -12

Add '-6' to each side of the equation.
6 + -6 + -4t = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -4t = -12 + -6
-4t = -12 + -6

Combine like terms: -12 + -6 = -18
-4t = -18

Divide each side by '-4'.
t = 4.5

Simplifying
t = 4.5