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

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

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

Reorder the terms:
6(1 + 6t) + -8 = t + -1(t + 1)
(1 * 6 + 6t * 6) + -8 = t + -1(t + 1)
(6 + 36t) + -8 = t + -1(t + 1)

Reorder the terms:
6 + -8 + 36t = t + -1(t + 1)

Combine like terms: 6 + -8 = -2
-2 + 36t = t + -1(t + 1)

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

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

Combine like terms: t + -1t = 0
-2 + 36t = -1 + 0
-2 + 36t = -1

Solving
-2 + 36t = -1

Solving for variable 't'.

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

Add '2' to each side of the equation.
-2 + 2 + 36t = -1 + 2

Combine like terms: -2 + 2 = 0
0 + 36t = -1 + 2
36t = -1 + 2

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

Divide each side by '36'.
t = 0.02777777778

Simplifying
t = 0.02777777778