-8(t-9)-(t+1)=6

Solution for -8(t-9)-(t+1)=6 equation:

Simplifying
-8(t + -9) + -1(t + 1) = 6

Reorder the terms:
-8(-9 + t) + -1(t + 1) = 6
(-9 * -8 + t * -8) + -1(t + 1) = 6
(72 + -8t) + -1(t + 1) = 6

Reorder the terms:
72 + -8t + -1(1 + t) = 6
72 + -8t + (1 * -1 + t * -1) = 6
72 + -8t + (-1 + -1t) = 6

Reorder the terms:
72 + -1 + -8t + -1t = 6

Combine like terms: 72 + -1 = 71
71 + -8t + -1t = 6

Combine like terms: -8t + -1t = -9t
71 + -9t = 6

Solving
71 + -9t = 6

Solving for variable 't'.

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

Add '-71' to each side of the equation.
71 + -71 + -9t = 6 + -71

Combine like terms: 71 + -71 = 0
0 + -9t = 6 + -71
-9t = 6 + -71

Combine like terms: 6 + -71 = -65
-9t = -65

Divide each side by '-9'.
t = 7.222222222

Simplifying
t = 7.222222222