36=3n+3(2n+3)

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Solution for 36=3n+3(2n+3) equation:


Simplifying
36 = 3n + 3(2n + 3)

Reorder the terms:
36 = 3n + 3(3 + 2n)
36 = 3n + (3 * 3 + 2n * 3)
36 = 3n + (9 + 6n)

Reorder the terms:
36 = 9 + 3n + 6n

Combine like terms: 3n + 6n = 9n
36 = 9 + 9n

Solving
36 = 9 + 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 + -9n = 9 + 9n + -9n

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

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

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

Combine like terms: 9 + -36 = -27
-9n = -27

Divide each side by '-9'.
n = 3

Simplifying
n = 3

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