2-(3t-1)+t=6-t

Solution for 2-(3t-1)+t=6-t equation:

Simplifying
2 + -1(3t + -1) + t = 6 + -1t

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

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

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

Solving
3 + -2t = 6 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
3 + -2t + t = 6 + -1t + t

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

Combine like terms: -1t + t = 0
3 + -1t = 6 + 0
3 + -1t = 6

Add '-3' to each side of the equation.
3 + -3 + -1t = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 6 + -3
-1t = 6 + -3

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

Divide each side by '-1'.
t = -3

Simplifying
t = -3