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

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

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

Reorder the terms:
-8(-4 + t) + -1(t + 3) = 10
(-4 * -8 + t * -8) + -1(t + 3) = 10
(32 + -8t) + -1(t + 3) = 10

Reorder the terms:
32 + -8t + -1(3 + t) = 10
32 + -8t + (3 * -1 + t * -1) = 10
32 + -8t + (-3 + -1t) = 10

Reorder the terms:
32 + -3 + -8t + -1t = 10

Combine like terms: 32 + -3 = 29
29 + -8t + -1t = 10

Combine like terms: -8t + -1t = -9t
29 + -9t = 10

Solving
29 + -9t = 10

Solving for variable 't'.

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

Add '-29' to each side of the equation.
29 + -29 + -9t = 10 + -29

Combine like terms: 29 + -29 = 0
0 + -9t = 10 + -29
-9t = 10 + -29

Combine like terms: 10 + -29 = -19
-9t = -19

Divide each side by '-9'.
t = 2.111111111

Simplifying
t = 2.111111111