-5(t-7)-(t+1)=6

Solution for -5(t-7)-(t+1)=6 equation:

Simplifying
-5(t + -7) + -1(t + 1) = 6

Reorder the terms:
-5(-7 + t) + -1(t + 1) = 6
(-7 * -5 + t * -5) + -1(t + 1) = 6
(35 + -5t) + -1(t + 1) = 6

Reorder the terms:
35 + -5t + -1(1 + t) = 6
35 + -5t + (1 * -1 + t * -1) = 6
35 + -5t + (-1 + -1t) = 6

Reorder the terms:
35 + -1 + -5t + -1t = 6

Combine like terms: 35 + -1 = 34
34 + -5t + -1t = 6

Combine like terms: -5t + -1t = -6t
34 + -6t = 6

Solving
34 + -6t = 6

Solving for variable 't'.

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

Add '-34' to each side of the equation.
34 + -34 + -6t = 6 + -34

Combine like terms: 34 + -34 = 0
0 + -6t = 6 + -34
-6t = 6 + -34

Combine like terms: 6 + -34 = -28
-6t = -28

Divide each side by '-6'.
t = 4.666666667

Simplifying
t = 4.666666667