4(n+9)=3(2n+n)

Solution for 4(n+9)=3(2n+n) equation:

Simplifying
4(n + 9) = 3(2n + n)

Reorder the terms:
4(9 + n) = 3(2n + n)
(9 * 4 + n * 4) = 3(2n + n)
(36 + 4n) = 3(2n + n)

Combine like terms: 2n + n = 3n
36 + 4n = 3(3n)

Remove parenthesis around (3n)
36 + 4n = 3 * 3n

Multiply 3 * 3
36 + 4n = 9n

Solving
36 + 4n = 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
36 + 4n + -9n = 9n + -9n

Combine like terms: 4n + -9n = -5n
36 + -5n = 9n + -9n

Combine like terms: 9n + -9n = 0
36 + -5n = 0

Add '-36' to each side of the equation.
36 + -36 + -5n = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -5n = 0 + -36
-5n = 0 + -36

Combine like terms: 0 + -36 = -36
-5n = -36

Divide each side by '-5'.
n = 7.2

Simplifying
n = 7.2