6(6t+1)-10=t-(t+3)

Solution for 6(6t+1)-10=t-(t+3) equation:

Simplifying
6(6t + 1) + -10 = t + -1(t + 3)

Reorder the terms:
6(1 + 6t) + -10 = t + -1(t + 3)
(1 * 6 + 6t * 6) + -10 = t + -1(t + 3)
(6 + 36t) + -10 = t + -1(t + 3)

Reorder the terms:
6 + -10 + 36t = t + -1(t + 3)

Combine like terms: 6 + -10 = -4
-4 + 36t = t + -1(t + 3)

Reorder the terms:
-4 + 36t = t + -1(3 + t)
-4 + 36t = t + (3 * -1 + t * -1)
-4 + 36t = t + (-3 + -1t)

Reorder the terms:
-4 + 36t = -3 + t + -1t

Combine like terms: t + -1t = 0
-4 + 36t = -3 + 0
-4 + 36t = -3

Solving
-4 + 36t = -3

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + 36t = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 36t = -3 + 4
36t = -3 + 4

Combine like terms: -3 + 4 = 1
36t = 1

Divide each side by '36'.
t = 0.02777777778

Simplifying
t = 0.02777777778