3(3n+3)+1=6(9+n)

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Solution for 3(3n+3)+1=6(9+n) equation:


Simplifying
3(3n + 3) + 1 = 6(9 + n)

Reorder the terms:
3(3 + 3n) + 1 = 6(9 + n)
(3 * 3 + 3n * 3) + 1 = 6(9 + n)
(9 + 9n) + 1 = 6(9 + n)

Reorder the terms:
9 + 1 + 9n = 6(9 + n)

Combine like terms: 9 + 1 = 10
10 + 9n = 6(9 + n)
10 + 9n = (9 * 6 + n * 6)
10 + 9n = (54 + 6n)

Solving
10 + 9n = 54 + 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.
10 + 9n + -6n = 54 + 6n + -6n

Combine like terms: 9n + -6n = 3n
10 + 3n = 54 + 6n + -6n

Combine like terms: 6n + -6n = 0
10 + 3n = 54 + 0
10 + 3n = 54

Add '-10' to each side of the equation.
10 + -10 + 3n = 54 + -10

Combine like terms: 10 + -10 = 0
0 + 3n = 54 + -10
3n = 54 + -10

Combine like terms: 54 + -10 = 44
3n = 44

Divide each side by '3'.
n = 14.66666667

Simplifying
n = 14.66666667

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