2(3t+1)-16=t-(t+13)

Solution for 2(3t+1)-16=t-(t+13) equation:

Simplifying
2(3t + 1) + -16 = t + -1(t + 13)

Reorder the terms:
2(1 + 3t) + -16 = t + -1(t + 13)
(1 * 2 + 3t * 2) + -16 = t + -1(t + 13)
(2 + 6t) + -16 = t + -1(t + 13)

Reorder the terms:
2 + -16 + 6t = t + -1(t + 13)

Combine like terms: 2 + -16 = -14
-14 + 6t = t + -1(t + 13)

Reorder the terms:
-14 + 6t = t + -1(13 + t)
-14 + 6t = t + (13 * -1 + t * -1)
-14 + 6t = t + (-13 + -1t)

Reorder the terms:
-14 + 6t = -13 + t + -1t

Combine like terms: t + -1t = 0
-14 + 6t = -13 + 0
-14 + 6t = -13

Solving
-14 + 6t = -13

Solving for variable 't'.

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

Add '14' to each side of the equation.
-14 + 14 + 6t = -13 + 14

Combine like terms: -14 + 14 = 0
0 + 6t = -13 + 14
6t = -13 + 14

Combine like terms: -13 + 14 = 1
6t = 1

Divide each side by '6'.
t = 0.1666666667

Simplifying
t = 0.1666666667