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

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

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

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

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

Reorder the terms:
16 + -6 + -8t + -1t = 1

Combine like terms: 16 + -6 = 10
10 + -8t + -1t = 1

Combine like terms: -8t + -1t = -9t
10 + -9t = 1

Solving
10 + -9t = 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 + -9t = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -9t = 1 + -10
-9t = 1 + -10

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

Divide each side by '-9'.
t = 1

Simplifying
t = 1