9(9n+9)=3(27n+3n)

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Solution for 9(9n+9)=3(27n+3n) equation:


Simplifying
9(9n + 9) = 3(27n + 3n)

Reorder the terms:
9(9 + 9n) = 3(27n + 3n)
(9 * 9 + 9n * 9) = 3(27n + 3n)
(81 + 81n) = 3(27n + 3n)

Combine like terms: 27n + 3n = 30n
81 + 81n = 3(30n)

Remove parenthesis around (30n)
81 + 81n = 3 * 30n

Multiply 3 * 30
81 + 81n = 90n

Solving
81 + 81n = 90n

Solving for variable 'n'.

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

Add '-90n' to each side of the equation.
81 + 81n + -90n = 90n + -90n

Combine like terms: 81n + -90n = -9n
81 + -9n = 90n + -90n

Combine like terms: 90n + -90n = 0
81 + -9n = 0

Add '-81' to each side of the equation.
81 + -81 + -9n = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -9n = 0 + -81
-9n = 0 + -81

Combine like terms: 0 + -81 = -81
-9n = -81

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

Simplifying
n = 9

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