-2(t-8)-(t+1)=2

Solution for -2(t-8)-(t+1)=2 equation:

Simplifying
-2(t + -8) + -1(t + 1) = 2

Reorder the terms:
-2(-8 + t) + -1(t + 1) = 2
(-8 * -2 + t * -2) + -1(t + 1) = 2
(16 + -2t) + -1(t + 1) = 2

Reorder the terms:
16 + -2t + -1(1 + t) = 2
16 + -2t + (1 * -1 + t * -1) = 2
16 + -2t + (-1 + -1t) = 2

Reorder the terms:
16 + -1 + -2t + -1t = 2

Combine like terms: 16 + -1 = 15
15 + -2t + -1t = 2

Combine like terms: -2t + -1t = -3t
15 + -3t = 2

Solving
15 + -3t = 2

Solving for variable 't'.

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

Add '-15' to each side of the equation.
15 + -15 + -3t = 2 + -15

Combine like terms: 15 + -15 = 0
0 + -3t = 2 + -15
-3t = 2 + -15

Combine like terms: 2 + -15 = -13
-3t = -13

Divide each side by '-3'.
t = 4.333333333

Simplifying
t = 4.333333333