3(n-1)=3(t+4)t

Solution for 3(n-1)=3(t+4)t equation:

Simplifying
3(n + -1) = 3(t + 4) * t

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

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

Reorder the terms for easier multiplication:
-3 + 3n = 3t(4 + t)
-3 + 3n = (4 * 3t + t * 3t)
-3 + 3n = (12t + 3t2)

Solving
-3 + 3n = 12t + 3t2

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + 3n = 12t + 3 + 3t2

Combine like terms: -3 + 3 = 0
0 + 3n = 12t + 3 + 3t2
3n = 12t + 3 + 3t2

Reorder the terms:
3n = 3 + 12t + 3t2

Divide each side by '3'.
n = 1 + 4t + t2

Simplifying
n = 1 + 4t + t2