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

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

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

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

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

Reorder the terms:
24 + -3 + -3t + -1t = 1

Combine like terms: 24 + -3 = 21
21 + -3t + -1t = 1

Combine like terms: -3t + -1t = -4t
21 + -4t = 1

Solving
21 + -4t = 1

Solving for variable 't'.

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

Add '-21' to each side of the equation.
21 + -21 + -4t = 1 + -21

Combine like terms: 21 + -21 = 0
0 + -4t = 1 + -21
-4t = 1 + -21

Combine like terms: 1 + -21 = -20
-4t = -20

Divide each side by '-4'.
t = 5

Simplifying
t = 5