-7(t-6)-(t+1)=10

Solution for -7(t-6)-(t+1)=10 equation:

Simplifying
-7(t + -6) + -1(t + 1) = 10

Reorder the terms:
-7(-6 + t) + -1(t + 1) = 10
(-6 * -7 + t * -7) + -1(t + 1) = 10
(42 + -7t) + -1(t + 1) = 10

Reorder the terms:
42 + -7t + -1(1 + t) = 10
42 + -7t + (1 * -1 + t * -1) = 10
42 + -7t + (-1 + -1t) = 10

Reorder the terms:
42 + -1 + -7t + -1t = 10

Combine like terms: 42 + -1 = 41
41 + -7t + -1t = 10

Combine like terms: -7t + -1t = -8t
41 + -8t = 10

Solving
41 + -8t = 10

Solving for variable 't'.

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

Add '-41' to each side of the equation.
41 + -41 + -8t = 10 + -41

Combine like terms: 41 + -41 = 0
0 + -8t = 10 + -41
-8t = 10 + -41

Combine like terms: 10 + -41 = -31
-8t = -31

Divide each side by '-8'.
t = 3.875

Simplifying
t = 3.875