-6(t-8)-(t+1)=1

Solution for -6(t-8)-(t+1)=1 equation:

Simplifying
-6(t + -8) + -1(t + 1) = 1

Reorder the terms:
-6(-8 + t) + -1(t + 1) = 1
(-8 * -6 + t * -6) + -1(t + 1) = 1
(48 + -6t) + -1(t + 1) = 1

Reorder the terms:
48 + -6t + -1(1 + t) = 1
48 + -6t + (1 * -1 + t * -1) = 1
48 + -6t + (-1 + -1t) = 1

Reorder the terms:
48 + -1 + -6t + -1t = 1

Combine like terms: 48 + -1 = 47
47 + -6t + -1t = 1

Combine like terms: -6t + -1t = -7t
47 + -7t = 1

Solving
47 + -7t = 1

Solving for variable 't'.

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

Add '-47' to each side of the equation.
47 + -47 + -7t = 1 + -47

Combine like terms: 47 + -47 = 0
0 + -7t = 1 + -47
-7t = 1 + -47

Combine like terms: 1 + -47 = -46
-7t = -46

Divide each side by '-7'.
t = 6.571428571

Simplifying
t = 6.571428571