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

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

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

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

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

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

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

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

Solving
31 + -9t = 1

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 = 1 + -31

Combine like terms: 31 + -31 = 0
0 + -9t = 1 + -31
-9t = 1 + -31

Combine like terms: 1 + -31 = -30
-9t = -30

Divide each side by '-9'.
t = 3.333333333

Simplifying
t = 3.333333333