-3(t-3)-(t+7)=5

Solution for -3(t-3)-(t+7)=5 equation:

Simplifying
-3(t + -3) + -1(t + 7) = 5

Reorder the terms:
-3(-3 + t) + -1(t + 7) = 5
(-3 * -3 + t * -3) + -1(t + 7) = 5
(9 + -3t) + -1(t + 7) = 5

Reorder the terms:
9 + -3t + -1(7 + t) = 5
9 + -3t + (7 * -1 + t * -1) = 5
9 + -3t + (-7 + -1t) = 5

Reorder the terms:
9 + -7 + -3t + -1t = 5

Combine like terms: 9 + -7 = 2
2 + -3t + -1t = 5

Combine like terms: -3t + -1t = -4t
2 + -4t = 5

Solving
2 + -4t = 5

Solving for variable 't'.

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

Add '-2' to each side of the equation.
2 + -2 + -4t = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -4t = 5 + -2
-4t = 5 + -2

Combine like terms: 5 + -2 = 3
-4t = 3

Divide each side by '-4'.
t = -0.75

Simplifying
t = -0.75