-8(t-5)-(t+4)=10

Solution for -8(t-5)-(t+4)=10 equation:

Simplifying
-8(t + -5) + -1(t + 4) = 10

Reorder the terms:
-8(-5 + t) + -1(t + 4) = 10
(-5 * -8 + t * -8) + -1(t + 4) = 10
(40 + -8t) + -1(t + 4) = 10

Reorder the terms:
40 + -8t + -1(4 + t) = 10
40 + -8t + (4 * -1 + t * -1) = 10
40 + -8t + (-4 + -1t) = 10

Reorder the terms:
40 + -4 + -8t + -1t = 10

Combine like terms: 40 + -4 = 36
36 + -8t + -1t = 10

Combine like terms: -8t + -1t = -9t
36 + -9t = 10

Solving
36 + -9t = 10

Solving for variable 't'.

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

Add '-36' to each side of the equation.
36 + -36 + -9t = 10 + -36

Combine like terms: 36 + -36 = 0
0 + -9t = 10 + -36
-9t = 10 + -36

Combine like terms: 10 + -36 = -26
-9t = -26

Divide each side by '-9'.
t = 2.888888889

Simplifying
t = 2.888888889