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

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

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

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

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

Reorder the terms:
42 + -1 + -6t + -1t = 10

Combine like terms: 42 + -1 = 41
41 + -6t + -1t = 10

Combine like terms: -6t + -1t = -7t
41 + -7t = 10

Solving
41 + -7t = 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 + -7t = 10 + -41

Combine like terms: 41 + -41 = 0
0 + -7t = 10 + -41
-7t = 10 + -41

Combine like terms: 10 + -41 = -31
-7t = -31

Divide each side by '-7'.
t = 4.428571429

Simplifying
t = 4.428571429