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

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


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

Reorder the terms:
5(-3 + 2n) = (4n + 2) + 9
(-3 * 5 + 2n * 5) = (4n + 2) + 9
(-15 + 10n) = (4n + 2) + 9

Reorder the terms:
-15 + 10n = (2 + 4n) + 9

Remove parenthesis around (2 + 4n)
-15 + 10n = 2 + 4n + 9

Reorder the terms:
-15 + 10n = 2 + 9 + 4n

Combine like terms: 2 + 9 = 11
-15 + 10n = 11 + 4n

Solving
-15 + 10n = 11 + 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.
-15 + 10n + -4n = 11 + 4n + -4n

Combine like terms: 10n + -4n = 6n
-15 + 6n = 11 + 4n + -4n

Combine like terms: 4n + -4n = 0
-15 + 6n = 11 + 0
-15 + 6n = 11

Add '15' to each side of the equation.
-15 + 15 + 6n = 11 + 15

Combine like terms: -15 + 15 = 0
0 + 6n = 11 + 15
6n = 11 + 15

Combine like terms: 11 + 15 = 26
6n = 26

Divide each side by '6'.
n = 4.333333333

Simplifying
n = 4.333333333

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