9(2n-3)=(4n+5)+2

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Solution for 9(2n-3)=(4n+5)+2 equation:


Simplifying
9(2n + -3) = (4n + 5) + 2

Reorder the terms:
9(-3 + 2n) = (4n + 5) + 2
(-3 * 9 + 2n * 9) = (4n + 5) + 2
(-27 + 18n) = (4n + 5) + 2

Reorder the terms:
-27 + 18n = (5 + 4n) + 2

Remove parenthesis around (5 + 4n)
-27 + 18n = 5 + 4n + 2

Reorder the terms:
-27 + 18n = 5 + 2 + 4n

Combine like terms: 5 + 2 = 7
-27 + 18n = 7 + 4n

Solving
-27 + 18n = 7 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-27 + 18n + -4n = 7 + 4n + -4n

Combine like terms: 18n + -4n = 14n
-27 + 14n = 7 + 4n + -4n

Combine like terms: 4n + -4n = 0
-27 + 14n = 7 + 0
-27 + 14n = 7

Add '27' to each side of the equation.
-27 + 27 + 14n = 7 + 27

Combine like terms: -27 + 27 = 0
0 + 14n = 7 + 27
14n = 7 + 27

Combine like terms: 7 + 27 = 34
14n = 34

Divide each side by '14'.
n = 2.428571429

Simplifying
n = 2.428571429

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