-8(t-3)-(t+1)=1

Solution for -8(t-3)-(t+1)=1 equation:

Simplifying
-8(t + -3) + -1(t + 1) = 1

Reorder the terms:
-8(-3 + t) + -1(t + 1) = 1
(-3 * -8 + t * -8) + -1(t + 1) = 1
(24 + -8t) + -1(t + 1) = 1

Reorder the terms:
24 + -8t + -1(1 + t) = 1
24 + -8t + (1 * -1 + t * -1) = 1
24 + -8t + (-1 + -1t) = 1

Reorder the terms:
24 + -1 + -8t + -1t = 1

Combine like terms: 24 + -1 = 23
23 + -8t + -1t = 1

Combine like terms: -8t + -1t = -9t
23 + -9t = 1

Solving
23 + -9t = 1

Solving for variable 't'.

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

Add '-23' to each side of the equation.
23 + -23 + -9t = 1 + -23

Combine like terms: 23 + -23 = 0
0 + -9t = 1 + -23
-9t = 1 + -23

Combine like terms: 1 + -23 = -22
-9t = -22

Divide each side by '-9'.
t = 2.444444444

Simplifying
t = 2.444444444