9n+27-5n-15=2(3+3n)-1

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Solution for 9n+27-5n-15=2(3+3n)-1 equation: 


Simplifying
9n + 27 + -5n + -15 = 2(3 + 3n) + -1

Reorder the terms:
27 + -15 + 9n + -5n = 2(3 + 3n) + -1

Combine like terms: 27 + -15 = 12
12 + 9n + -5n = 2(3 + 3n) + -1

Combine like terms: 9n + -5n = 4n
12 + 4n = 2(3 + 3n) + -1
12 + 4n = (3 * 2 + 3n * 2) + -1
12 + 4n = (6 + 6n) + -1

Reorder the terms:
12 + 4n = 6 + -1 + 6n

Combine like terms: 6 + -1 = 5
12 + 4n = 5 + 6n

Solving
12 + 4n = 5 + 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 + 4n + -6n = 5 + 6n + -6n

Combine like terms: 4n + -6n = -2n
12 + -2n = 5 + 6n + -6n

Combine like terms: 6n + -6n = 0
12 + -2n = 5 + 0
12 + -2n = 5

Add '-12' to each side of the equation.
12 + -12 + -2n = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = 5 + -12
-2n = 5 + -12

Combine like terms: 5 + -12 = -7
-2n = -7

Divide each side by '-2'.
n = 3.5

Simplifying
n = 3.5

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