2(3t+1)-14=t-(t+11)

Solution for 2(3t+1)-14=t-(t+11) equation:

Simplifying
2(3t + 1) + -14 = t + -1(t + 11)

Reorder the terms:
2(1 + 3t) + -14 = t + -1(t + 11)
(1 * 2 + 3t * 2) + -14 = t + -1(t + 11)
(2 + 6t) + -14 = t + -1(t + 11)

Reorder the terms:
2 + -14 + 6t = t + -1(t + 11)

Combine like terms: 2 + -14 = -12
-12 + 6t = t + -1(t + 11)

Reorder the terms:
-12 + 6t = t + -1(11 + t)
-12 + 6t = t + (11 * -1 + t * -1)
-12 + 6t = t + (-11 + -1t)

Reorder the terms:
-12 + 6t = -11 + t + -1t

Combine like terms: t + -1t = 0
-12 + 6t = -11 + 0
-12 + 6t = -11

Solving
-12 + 6t = -11

Solving for variable 't'.

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

Add '12' to each side of the equation.
-12 + 12 + 6t = -11 + 12

Combine like terms: -12 + 12 = 0
0 + 6t = -11 + 12
6t = -11 + 12

Combine like terms: -11 + 12 = 1
6t = 1

Divide each side by '6'.
t = 0.1666666667

Simplifying
t = 0.1666666667