3(2+3n)=13(n+2)

Solution for 3(2+3n)=13(n+2) equation:

Simplifying
3(2 + 3n) = 13(n + 2)
(2 * 3 + 3n * 3) = 13(n + 2)
(6 + 9n) = 13(n + 2)

Reorder the terms:
6 + 9n = 13(2 + n)
6 + 9n = (2 * 13 + n * 13)
6 + 9n = (26 + 13n)

Solving
6 + 9n = 26 + 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
6 + 9n + -13n = 26 + 13n + -13n

Combine like terms: 9n + -13n = -4n
6 + -4n = 26 + 13n + -13n

Combine like terms: 13n + -13n = 0
6 + -4n = 26 + 0
6 + -4n = 26

Add '-6' to each side of the equation.
6 + -6 + -4n = 26 + -6

Combine like terms: 6 + -6 = 0
0 + -4n = 26 + -6
-4n = 26 + -6

Combine like terms: 26 + -6 = 20
-4n = 20

Divide each side by '-4'.
n = -5

Simplifying
n = -5