-3(t+-4)-(t+8)=10

Solution for -3(t+-4)-(t+8)=10 equation:

Simplifying
-3(t + -4) + -1(t + 8) = 10

Reorder the terms:
-3(-4 + t) + -1(t + 8) = 10
(-4 * -3 + t * -3) + -1(t + 8) = 10
(12 + -3t) + -1(t + 8) = 10

Reorder the terms:
12 + -3t + -1(8 + t) = 10
12 + -3t + (8 * -1 + t * -1) = 10
12 + -3t + (-8 + -1t) = 10

Reorder the terms:
12 + -8 + -3t + -1t = 10

Combine like terms: 12 + -8 = 4
4 + -3t + -1t = 10

Combine like terms: -3t + -1t = -4t
4 + -4t = 10

Solving
4 + -4t = 10

Solving for variable 't'.

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

Add '-4' to each side of the equation.
4 + -4 + -4t = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -4t = 10 + -4
-4t = 10 + -4

Combine like terms: 10 + -4 = 6
-4t = 6

Divide each side by '-4'.
t = -1.5

Simplifying
t = -1.5