9=6(2n+2)+3(6+3n)

Solution for 9=6(2n+2)+3(6+3n) equation:

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

Reorder the terms:
9 = 6(2 + 2n) + 3(6 + 3n)
9 = (2 * 6 + 2n * 6) + 3(6 + 3n)
9 = (12 + 12n) + 3(6 + 3n)
9 = 12 + 12n + (6 * 3 + 3n * 3)
9 = 12 + 12n + (18 + 9n)

Reorder the terms:
9 = 12 + 18 + 12n + 9n

Combine like terms: 12 + 18 = 30
9 = 30 + 12n + 9n

Combine like terms: 12n + 9n = 21n
9 = 30 + 21n

Solving
9 = 30 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
9 + -21n = 30 + 21n + -21n

Combine like terms: 21n + -21n = 0
9 + -21n = 30 + 0
9 + -21n = 30

Add '-9' to each side of the equation.
9 + -9 + -21n = 30 + -9

Combine like terms: 9 + -9 = 0
0 + -21n = 30 + -9
-21n = 30 + -9

Combine like terms: 30 + -9 = 21
-21n = 21

Divide each side by '-21'.
n = -1

Simplifying
n = -1