13(4t+1)-16=t-(t+2)

Solution for 13(4t+1)-16=t-(t+2) equation:

Simplifying
13(4t + 1) + -16 = t + -1(t + 2)

Reorder the terms:
13(1 + 4t) + -16 = t + -1(t + 2)
(1 * 13 + 4t * 13) + -16 = t + -1(t + 2)
(13 + 52t) + -16 = t + -1(t + 2)

Reorder the terms:
13 + -16 + 52t = t + -1(t + 2)

Combine like terms: 13 + -16 = -3
-3 + 52t = t + -1(t + 2)

Reorder the terms:
-3 + 52t = t + -1(2 + t)
-3 + 52t = t + (2 * -1 + t * -1)
-3 + 52t = t + (-2 + -1t)

Reorder the terms:
-3 + 52t = -2 + t + -1t

Combine like terms: t + -1t = 0
-3 + 52t = -2 + 0
-3 + 52t = -2

Solving
-3 + 52t = -2

Solving for variable 't'.

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

Add '3' to each side of the equation.
-3 + 3 + 52t = -2 + 3

Combine like terms: -3 + 3 = 0
0 + 52t = -2 + 3
52t = -2 + 3

Combine like terms: -2 + 3 = 1
52t = 1

Divide each side by '52'.
t = 0.01923076923

Simplifying
t = 0.01923076923