12(3t+1)-16=t-(t+3)

Solution for 12(3t+1)-16=t-(t+3) equation:

Simplifying
12(3t + 1) + -16 = t + -1(t + 3)

Reorder the terms:
12(1 + 3t) + -16 = t + -1(t + 3)
(1 * 12 + 3t * 12) + -16 = t + -1(t + 3)
(12 + 36t) + -16 = t + -1(t + 3)

Reorder the terms:
12 + -16 + 36t = t + -1(t + 3)

Combine like terms: 12 + -16 = -4
-4 + 36t = t + -1(t + 3)

Reorder the terms:
-4 + 36t = t + -1(3 + t)
-4 + 36t = t + (3 * -1 + t * -1)
-4 + 36t = t + (-3 + -1t)

Reorder the terms:
-4 + 36t = -3 + t + -1t

Combine like terms: t + -1t = 0
-4 + 36t = -3 + 0
-4 + 36t = -3

Solving
-4 + 36t = -3

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + 36t = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 36t = -3 + 4
36t = -3 + 4

Combine like terms: -3 + 4 = 1
36t = 1

Divide each side by '36'.
t = 0.02777777778

Simplifying
t = 0.02777777778