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

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

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

Reorder the terms:
-6(-6 + t) + -1(t + 5) = 1
(-6 * -6 + t * -6) + -1(t + 5) = 1
(36 + -6t) + -1(t + 5) = 1

Reorder the terms:
36 + -6t + -1(5 + t) = 1
36 + -6t + (5 * -1 + t * -1) = 1
36 + -6t + (-5 + -1t) = 1

Reorder the terms:
36 + -5 + -6t + -1t = 1

Combine like terms: 36 + -5 = 31
31 + -6t + -1t = 1

Combine like terms: -6t + -1t = -7t
31 + -7t = 1

Solving
31 + -7t = 1

Solving for variable 't'.

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

Add '-31' to each side of the equation.
31 + -31 + -7t = 1 + -31

Combine like terms: 31 + -31 = 0
0 + -7t = 1 + -31
-7t = 1 + -31

Combine like terms: 1 + -31 = -30
-7t = -30

Divide each side by '-7'.
t = 4.285714286

Simplifying
t = 4.285714286