-7(t-5)-(t+4)=10

Solution for -7(t-5)-(t+4)=10 equation:

Simplifying
-7(t + -5) + -1(t + 4) = 10

Reorder the terms:
-7(-5 + t) + -1(t + 4) = 10
(-5 * -7 + t * -7) + -1(t + 4) = 10
(35 + -7t) + -1(t + 4) = 10

Reorder the terms:
35 + -7t + -1(4 + t) = 10
35 + -7t + (4 * -1 + t * -1) = 10
35 + -7t + (-4 + -1t) = 10

Reorder the terms:
35 + -4 + -7t + -1t = 10

Combine like terms: 35 + -4 = 31
31 + -7t + -1t = 10

Combine like terms: -7t + -1t = -8t
31 + -8t = 10

Solving
31 + -8t = 10

Solving for variable 't'.

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

Add '-31' to each side of the equation.
31 + -31 + -8t = 10 + -31

Combine like terms: 31 + -31 = 0
0 + -8t = 10 + -31
-8t = 10 + -31

Combine like terms: 10 + -31 = -21
-8t = -21

Divide each side by '-8'.
t = 2.625

Simplifying
t = 2.625