4(2t+2)-6(t-1)=6-t

Solution for 4(2t+2)-6(t-1)=6-t equation:

Simplifying
4(2t + 2) + -6(t + -1) = 6 + -1t

Reorder the terms:
4(2 + 2t) + -6(t + -1) = 6 + -1t
(2 * 4 + 2t * 4) + -6(t + -1) = 6 + -1t
(8 + 8t) + -6(t + -1) = 6 + -1t

Reorder the terms:
8 + 8t + -6(-1 + t) = 6 + -1t
8 + 8t + (-1 * -6 + t * -6) = 6 + -1t
8 + 8t + (6 + -6t) = 6 + -1t

Reorder the terms:
8 + 6 + 8t + -6t = 6 + -1t

Combine like terms: 8 + 6 = 14
14 + 8t + -6t = 6 + -1t

Combine like terms: 8t + -6t = 2t
14 + 2t = 6 + -1t

Solving
14 + 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.
14 + 2t + t = 6 + -1t + t

Combine like terms: 2t + t = 3t
14 + 3t = 6 + -1t + t

Combine like terms: -1t + t = 0
14 + 3t = 6 + 0
14 + 3t = 6

Add '-14' to each side of the equation.
14 + -14 + 3t = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 3t = 6 + -14
3t = 6 + -14

Combine like terms: 6 + -14 = -8
3t = -8

Divide each side by '3'.
t = -2.666666667

Simplifying
t = -2.666666667