14(2t+1)-16=t-(t+1)

Solution for 14(2t+1)-16=t-(t+1) equation:

Simplifying
14(2t + 1) + -16 = t + -1(t + 1)

Reorder the terms:
14(1 + 2t) + -16 = t + -1(t + 1)
(1 * 14 + 2t * 14) + -16 = t + -1(t + 1)
(14 + 28t) + -16 = t + -1(t + 1)

Reorder the terms:
14 + -16 + 28t = t + -1(t + 1)

Combine like terms: 14 + -16 = -2
-2 + 28t = t + -1(t + 1)

Reorder the terms:
-2 + 28t = t + -1(1 + t)
-2 + 28t = t + (1 * -1 + t * -1)
-2 + 28t = t + (-1 + -1t)

Reorder the terms:
-2 + 28t = -1 + t + -1t

Combine like terms: t + -1t = 0
-2 + 28t = -1 + 0
-2 + 28t = -1

Solving
-2 + 28t = -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 + 28t = -1 + 2

Combine like terms: -2 + 2 = 0
0 + 28t = -1 + 2
28t = -1 + 2

Combine like terms: -1 + 2 = 1
28t = 1

Divide each side by '28'.
t = 0.03571428571

Simplifying
t = 0.03571428571