-3(t-5)-(t+6)=10

Solution for -3(t-5)-(t+6)=10 equation:

Simplifying
-3(t + -5) + -1(t + 6) = 10

Reorder the terms:
-3(-5 + t) + -1(t + 6) = 10
(-5 * -3 + t * -3) + -1(t + 6) = 10
(15 + -3t) + -1(t + 6) = 10

Reorder the terms:
15 + -3t + -1(6 + t) = 10
15 + -3t + (6 * -1 + t * -1) = 10
15 + -3t + (-6 + -1t) = 10

Reorder the terms:
15 + -6 + -3t + -1t = 10

Combine like terms: 15 + -6 = 9
9 + -3t + -1t = 10

Combine like terms: -3t + -1t = -4t
9 + -4t = 10

Solving
9 + -4t = 10

Solving for variable 't'.

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

Add '-9' to each side of the equation.
9 + -9 + -4t = 10 + -9

Combine like terms: 9 + -9 = 0
0 + -4t = 10 + -9
-4t = 10 + -9

Combine like terms: 10 + -9 = 1
-4t = 1

Divide each side by '-4'.
t = -0.25

Simplifying
t = -0.25