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

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

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

Reorder the terms:
-4(-5 + t) + -1(t + 1) = 1
(-5 * -4 + t * -4) + -1(t + 1) = 1
(20 + -4t) + -1(t + 1) = 1

Reorder the terms:
20 + -4t + -1(1 + t) = 1
20 + -4t + (1 * -1 + t * -1) = 1
20 + -4t + (-1 + -1t) = 1

Reorder the terms:
20 + -1 + -4t + -1t = 1

Combine like terms: 20 + -1 = 19
19 + -4t + -1t = 1

Combine like terms: -4t + -1t = -5t
19 + -5t = 1

Solving
19 + -5t = 1

Solving for variable 't'.

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

Add '-19' to each side of the equation.
19 + -19 + -5t = 1 + -19

Combine like terms: 19 + -19 = 0
0 + -5t = 1 + -19
-5t = 1 + -19

Combine like terms: 1 + -19 = -18
-5t = -18

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

Simplifying
t = 3.6