11(5t+1)-16=t-(t+4)

Solution for 11(5t+1)-16=t-(t+4) equation:

Simplifying
11(5t + 1) + -16 = t + -1(t + 4)

Reorder the terms:
11(1 + 5t) + -16 = t + -1(t + 4)
(1 * 11 + 5t * 11) + -16 = t + -1(t + 4)
(11 + 55t) + -16 = t + -1(t + 4)

Reorder the terms:
11 + -16 + 55t = t + -1(t + 4)

Combine like terms: 11 + -16 = -5
-5 + 55t = t + -1(t + 4)

Reorder the terms:
-5 + 55t = t + -1(4 + t)
-5 + 55t = t + (4 * -1 + t * -1)
-5 + 55t = t + (-4 + -1t)

Reorder the terms:
-5 + 55t = -4 + t + -1t

Combine like terms: t + -1t = 0
-5 + 55t = -4 + 0
-5 + 55t = -4

Solving
-5 + 55t = -4

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + 5 + 55t = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 55t = -4 + 5
55t = -4 + 5

Combine like terms: -4 + 5 = 1
55t = 1

Divide each side by '55'.
t = 0.01818181818

Simplifying
t = 0.01818181818