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

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

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

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

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

Reorder the terms:
4 + 6 + 4t + -6t = 6 + -1t

Combine like terms: 4 + 6 = 10
10 + 4t + -6t = 6 + -1t

Combine like terms: 4t + -6t = -2t
10 + -2t = 6 + -1t

Solving
10 + -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.
10 + -2t + t = 6 + -1t + t

Combine like terms: -2t + t = -1t
10 + -1t = 6 + -1t + t

Combine like terms: -1t + t = 0
10 + -1t = 6 + 0
10 + -1t = 6

Add '-10' to each side of the equation.
10 + -10 + -1t = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -1t = 6 + -10
-1t = 6 + -10

Combine like terms: 6 + -10 = -4
-1t = -4

Divide each side by '-1'.
t = 4

Simplifying
t = 4