-7(t-8)-(t+3)=10

Solution for -7(t-8)-(t+3)=10 equation:

Simplifying
-7(t + -8) + -1(t + 3) = 10

Reorder the terms:
-7(-8 + t) + -1(t + 3) = 10
(-8 * -7 + t * -7) + -1(t + 3) = 10
(56 + -7t) + -1(t + 3) = 10

Reorder the terms:
56 + -7t + -1(3 + t) = 10
56 + -7t + (3 * -1 + t * -1) = 10
56 + -7t + (-3 + -1t) = 10

Reorder the terms:
56 + -3 + -7t + -1t = 10

Combine like terms: 56 + -3 = 53
53 + -7t + -1t = 10

Combine like terms: -7t + -1t = -8t
53 + -8t = 10

Solving
53 + -8t = 10

Solving for variable 't'.

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

Add '-53' to each side of the equation.
53 + -53 + -8t = 10 + -53

Combine like terms: 53 + -53 = 0
0 + -8t = 10 + -53
-8t = 10 + -53

Combine like terms: 10 + -53 = -43
-8t = -43

Divide each side by '-8'.
t = 5.375

Simplifying
t = 5.375