-3(t-2)-(t+9)=7

Solution for -3(t-2)-(t+9)=7 equation:

Simplifying
-3(t + -2) + -1(t + 9) = 7

Reorder the terms:
-3(-2 + t) + -1(t + 9) = 7
(-2 * -3 + t * -3) + -1(t + 9) = 7
(6 + -3t) + -1(t + 9) = 7

Reorder the terms:
6 + -3t + -1(9 + t) = 7
6 + -3t + (9 * -1 + t * -1) = 7
6 + -3t + (-9 + -1t) = 7

Reorder the terms:
6 + -9 + -3t + -1t = 7

Combine like terms: 6 + -9 = -3
-3 + -3t + -1t = 7

Combine like terms: -3t + -1t = -4t
-3 + -4t = 7

Solving
-3 + -4t = 7

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 + -4t = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -4t = 7 + 3
-4t = 7 + 3

Combine like terms: 7 + 3 = 10
-4t = 10

Divide each side by '-4'.
t = -2.5

Simplifying
t = -2.5