-4(t-6)-(t+1)=5

Solution for -4(t-6)-(t+1)=5 equation:

Simplifying
-4(t + -6) + -1(t + 1) = 5

Reorder the terms:
-4(-6 + t) + -1(t + 1) = 5
(-6 * -4 + t * -4) + -1(t + 1) = 5
(24 + -4t) + -1(t + 1) = 5

Reorder the terms:
24 + -4t + -1(1 + t) = 5
24 + -4t + (1 * -1 + t * -1) = 5
24 + -4t + (-1 + -1t) = 5

Reorder the terms:
24 + -1 + -4t + -1t = 5

Combine like terms: 24 + -1 = 23
23 + -4t + -1t = 5

Combine like terms: -4t + -1t = -5t
23 + -5t = 5

Solving
23 + -5t = 5

Solving for variable 't'.

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

Add '-23' to each side of the equation.
23 + -23 + -5t = 5 + -23

Combine like terms: 23 + -23 = 0
0 + -5t = 5 + -23
-5t = 5 + -23

Combine like terms: 5 + -23 = -18
-5t = -18

Divide each side by '-5'.
t = 3.6

Simplifying
t = 3.6