-6(t-6)-(t+2)=1

Solution for -6(t-6)-(t+2)=1 equation:

Simplifying
-6(t + -6) + -1(t + 2) = 1

Reorder the terms:
-6(-6 + t) + -1(t + 2) = 1
(-6 * -6 + t * -6) + -1(t + 2) = 1
(36 + -6t) + -1(t + 2) = 1

Reorder the terms:
36 + -6t + -1(2 + t) = 1
36 + -6t + (2 * -1 + t * -1) = 1
36 + -6t + (-2 + -1t) = 1

Reorder the terms:
36 + -2 + -6t + -1t = 1

Combine like terms: 36 + -2 = 34
34 + -6t + -1t = 1

Combine like terms: -6t + -1t = -7t
34 + -7t = 1

Solving
34 + -7t = 1

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 + -7t = 1 + -34

Combine like terms: 34 + -34 = 0
0 + -7t = 1 + -34
-7t = 1 + -34

Combine like terms: 1 + -34 = -33
-7t = -33

Divide each side by '-7'.
t = 4.714285714

Simplifying
t = 4.714285714