3(3n+4)=36+6n

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Solution for 3(3n+4)=36+6n equation: 


Simplifying
3(3n + 4) = 36 + 6n

Reorder the terms:
3(4 + 3n) = 36 + 6n
(4 * 3 + 3n * 3) = 36 + 6n
(12 + 9n) = 36 + 6n

Solving
12 + 9n = 36 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
12 + 9n + -6n = 36 + 6n + -6n

Combine like terms: 9n + -6n = 3n
12 + 3n = 36 + 6n + -6n

Combine like terms: 6n + -6n = 0
12 + 3n = 36 + 0
12 + 3n = 36

Add '-12' to each side of the equation.
12 + -12 + 3n = 36 + -12

Combine like terms: 12 + -12 = 0
0 + 3n = 36 + -12
3n = 36 + -12

Combine like terms: 36 + -12 = 24
3n = 24

Divide each side by '3'.
n = 8

Simplifying
n = 8

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