-8(t-4)-(t+5)=1

Solution for -8(t-4)-(t+5)=1 equation:

Simplifying
-8(t + -4) + -1(t + 5) = 1

Reorder the terms:
-8(-4 + t) + -1(t + 5) = 1
(-4 * -8 + t * -8) + -1(t + 5) = 1
(32 + -8t) + -1(t + 5) = 1

Reorder the terms:
32 + -8t + -1(5 + t) = 1
32 + -8t + (5 * -1 + t * -1) = 1
32 + -8t + (-5 + -1t) = 1

Reorder the terms:
32 + -5 + -8t + -1t = 1

Combine like terms: 32 + -5 = 27
27 + -8t + -1t = 1

Combine like terms: -8t + -1t = -9t
27 + -9t = 1

Solving
27 + -9t = 1

Solving for variable 't'.

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

Add '-27' to each side of the equation.
27 + -27 + -9t = 1 + -27

Combine like terms: 27 + -27 = 0
0 + -9t = 1 + -27
-9t = 1 + -27

Combine like terms: 1 + -27 = -26
-9t = -26

Divide each side by '-9'.
t = 2.888888889

Simplifying
t = 2.888888889