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

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

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

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

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

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

Combine like terms: 32 + -1 = 31
31 + -8t + -1t = 5

Combine like terms: -8t + -1t = -9t
31 + -9t = 5

Solving
31 + -9t = 5

Solving for variable 't'.

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

Add '-31' to each side of the equation.
31 + -31 + -9t = 5 + -31

Combine like terms: 31 + -31 = 0
0 + -9t = 5 + -31
-9t = 5 + -31

Combine like terms: 5 + -31 = -26
-9t = -26

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

Simplifying
t = 2.888888889