-7(t-3)-(t+1)=4

Solution for -7(t-3)-(t+1)=4 equation:

Simplifying
-7(t + -3) + -1(t + 1) = 4

Reorder the terms:
-7(-3 + t) + -1(t + 1) = 4
(-3 * -7 + t * -7) + -1(t + 1) = 4
(21 + -7t) + -1(t + 1) = 4

Reorder the terms:
21 + -7t + -1(1 + t) = 4
21 + -7t + (1 * -1 + t * -1) = 4
21 + -7t + (-1 + -1t) = 4

Reorder the terms:
21 + -1 + -7t + -1t = 4

Combine like terms: 21 + -1 = 20
20 + -7t + -1t = 4

Combine like terms: -7t + -1t = -8t
20 + -8t = 4

Solving
20 + -8t = 4

Solving for variable 't'.

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

Add '-20' to each side of the equation.
20 + -20 + -8t = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -8t = 4 + -20
-8t = 4 + -20

Combine like terms: 4 + -20 = -16
-8t = -16

Divide each side by '-8'.
t = 2

Simplifying
t = 2