-2(t-8)-(t+6)=1

Solution for -2(t-8)-(t+6)=1 equation:

Simplifying
-2(t + -8) + -1(t + 6) = 1

Reorder the terms:
-2(-8 + t) + -1(t + 6) = 1
(-8 * -2 + t * -2) + -1(t + 6) = 1
(16 + -2t) + -1(t + 6) = 1

Reorder the terms:
16 + -2t + -1(6 + t) = 1
16 + -2t + (6 * -1 + t * -1) = 1
16 + -2t + (-6 + -1t) = 1

Reorder the terms:
16 + -6 + -2t + -1t = 1

Combine like terms: 16 + -6 = 10
10 + -2t + -1t = 1

Combine like terms: -2t + -1t = -3t
10 + -3t = 1

Solving
10 + -3t = 1

Solving for variable 't'.

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

Add '-10' to each side of the equation.
10 + -10 + -3t = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -3t = 1 + -10
-3t = 1 + -10

Combine like terms: 1 + -10 = -9
-3t = -9

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

Simplifying
t = 3