6(3n-1)=4(n+4)

Solution for 6(3n-1)=4(n+4) equation:

Simplifying
6(3n + -1) = 4(n + 4)

Reorder the terms:
6(-1 + 3n) = 4(n + 4)
(-1 * 6 + 3n * 6) = 4(n + 4)
(-6 + 18n) = 4(n + 4)

Reorder the terms:
-6 + 18n = 4(4 + n)
-6 + 18n = (4 * 4 + n * 4)
-6 + 18n = (16 + 4n)

Solving
-6 + 18n = 16 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-6 + 18n + -4n = 16 + 4n + -4n

Combine like terms: 18n + -4n = 14n
-6 + 14n = 16 + 4n + -4n

Combine like terms: 4n + -4n = 0
-6 + 14n = 16 + 0
-6 + 14n = 16

Add '6' to each side of the equation.
-6 + 6 + 14n = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 14n = 16 + 6
14n = 16 + 6

Combine like terms: 16 + 6 = 22
14n = 22

Divide each side by '14'.
n = 1.571428571

Simplifying
n = 1.571428571