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

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

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

Reorder the terms:
-8(-8 + t) + -1(t + -9) = 1
(-8 * -8 + t * -8) + -1(t + -9) = 1
(64 + -8t) + -1(t + -9) = 1

Reorder the terms:
64 + -8t + -1(-9 + t) = 1
64 + -8t + (-9 * -1 + t * -1) = 1
64 + -8t + (9 + -1t) = 1

Reorder the terms:
64 + 9 + -8t + -1t = 1

Combine like terms: 64 + 9 = 73
73 + -8t + -1t = 1

Combine like terms: -8t + -1t = -9t
73 + -9t = 1

Solving
73 + -9t = 1

Solving for variable 't'.

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

Add '-73' to each side of the equation.
73 + -73 + -9t = 1 + -73

Combine like terms: 73 + -73 = 0
0 + -9t = 1 + -73
-9t = 1 + -73

Combine like terms: 1 + -73 = -72
-9t = -72

Divide each side by '-9'.
t = 8

Simplifying
t = 8