-2(t-3)-(t+3)=6

Solution for -2(t-3)-(t+3)=6 equation:

Simplifying
-2(t + -3) + -1(t + 3) = 6

Reorder the terms:
-2(-3 + t) + -1(t + 3) = 6
(-3 * -2 + t * -2) + -1(t + 3) = 6
(6 + -2t) + -1(t + 3) = 6

Reorder the terms:
6 + -2t + -1(3 + t) = 6
6 + -2t + (3 * -1 + t * -1) = 6
6 + -2t + (-3 + -1t) = 6

Reorder the terms:
6 + -3 + -2t + -1t = 6

Combine like terms: 6 + -3 = 3
3 + -2t + -1t = 6

Combine like terms: -2t + -1t = -3t
3 + -3t = 6

Solving
3 + -3t = 6

Solving for variable 't'.

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

Add '-3' to each side of the equation.
3 + -3 + -3t = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -3t = 6 + -3
-3t = 6 + -3

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

Divide each side by '-3'.
t = -1

Simplifying
t = -1