-6(t-5)-(t+1)=5

Solution for -6(t-5)-(t+1)=5 equation:

Simplifying
-6(t + -5) + -1(t + 1) = 5

Reorder the terms:
-6(-5 + t) + -1(t + 1) = 5
(-5 * -6 + t * -6) + -1(t + 1) = 5
(30 + -6t) + -1(t + 1) = 5

Reorder the terms:
30 + -6t + -1(1 + t) = 5
30 + -6t + (1 * -1 + t * -1) = 5
30 + -6t + (-1 + -1t) = 5

Reorder the terms:
30 + -1 + -6t + -1t = 5

Combine like terms: 30 + -1 = 29
29 + -6t + -1t = 5

Combine like terms: -6t + -1t = -7t
29 + -7t = 5

Solving
29 + -7t = 5

Solving for variable 't'.

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

Add '-29' to each side of the equation.
29 + -29 + -7t = 5 + -29

Combine like terms: 29 + -29 = 0
0 + -7t = 5 + -29
-7t = 5 + -29

Combine like terms: 5 + -29 = -24
-7t = -24

Divide each side by '-7'.
t = 3.428571429

Simplifying
t = 3.428571429