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

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

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

Reorder the terms:
-2(-6 + t) + -1(t + 1) = 6
(-6 * -2 + t * -2) + -1(t + 1) = 6
(12 + -2t) + -1(t + 1) = 6

Reorder the terms:
12 + -2t + -1(1 + t) = 6
12 + -2t + (1 * -1 + t * -1) = 6
12 + -2t + (-1 + -1t) = 6

Reorder the terms:
12 + -1 + -2t + -1t = 6

Combine like terms: 12 + -1 = 11
11 + -2t + -1t = 6

Combine like terms: -2t + -1t = -3t
11 + -3t = 6

Solving
11 + -3t = 6

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + -3t = 6 + -11

Combine like terms: 11 + -11 = 0
0 + -3t = 6 + -11
-3t = 6 + -11

Combine like terms: 6 + -11 = -5
-3t = -5

Divide each side by '-3'.
t = 1.666666667

Simplifying
t = 1.666666667