4n+6=3(n+3)+18

Solution for 4n+6=3(n+3)+18 equation:

Simplifying
4n + 6 = 3(n + 3) + 18

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

Reorder the terms:
6 + 4n = 3(3 + n) + 18
6 + 4n = (3 * 3 + n * 3) + 18
6 + 4n = (9 + 3n) + 18

Reorder the terms:
6 + 4n = 9 + 18 + 3n

Combine like terms: 9 + 18 = 27
6 + 4n = 27 + 3n

Solving
6 + 4n = 27 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 4n + -3n = 27 + 3n + -3n

Combine like terms: 4n + -3n = 1n
6 + 1n = 27 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + 1n = 27 + 0
6 + 1n = 27

Add '-6' to each side of the equation.
6 + -6 + 1n = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 27 + -6
1n = 27 + -6

Combine like terms: 27 + -6 = 21
1n = 21

Divide each side by '1'.
n = 21

Simplifying
n = 21