-3(t-3)-(t+8)=6

Solution for -3(t-3)-(t+8)=6 equation:

Simplifying
-3(t + -3) + -1(t + 8) = 6

Reorder the terms:
-3(-3 + t) + -1(t + 8) = 6
(-3 * -3 + t * -3) + -1(t + 8) = 6
(9 + -3t) + -1(t + 8) = 6

Reorder the terms:
9 + -3t + -1(8 + t) = 6
9 + -3t + (8 * -1 + t * -1) = 6
9 + -3t + (-8 + -1t) = 6

Reorder the terms:
9 + -8 + -3t + -1t = 6

Combine like terms: 9 + -8 = 1
1 + -3t + -1t = 6

Combine like terms: -3t + -1t = -4t
1 + -4t = 6

Solving
1 + -4t = 6

Solving for variable 't'.

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

Add '-1' to each side of the equation.
1 + -1 + -4t = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -4t = 6 + -1
-4t = 6 + -1

Combine like terms: 6 + -1 = 5
-4t = 5

Divide each side by '-4'.
t = -1.25

Simplifying
t = -1.25