-8(t-7)-(t+5)=10

Solution for -8(t-7)-(t+5)=10 equation:

Simplifying
-8(t + -7) + -1(t + 5) = 10

Reorder the terms:
-8(-7 + t) + -1(t + 5) = 10
(-7 * -8 + t * -8) + -1(t + 5) = 10
(56 + -8t) + -1(t + 5) = 10

Reorder the terms:
56 + -8t + -1(5 + t) = 10
56 + -8t + (5 * -1 + t * -1) = 10
56 + -8t + (-5 + -1t) = 10

Reorder the terms:
56 + -5 + -8t + -1t = 10

Combine like terms: 56 + -5 = 51
51 + -8t + -1t = 10

Combine like terms: -8t + -1t = -9t
51 + -9t = 10

Solving
51 + -9t = 10

Solving for variable 't'.

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

Add '-51' to each side of the equation.
51 + -51 + -9t = 10 + -51

Combine like terms: 51 + -51 = 0
0 + -9t = 10 + -51
-9t = 10 + -51

Combine like terms: 10 + -51 = -41
-9t = -41

Divide each side by '-9'.
t = 4.555555556

Simplifying
t = 4.555555556