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

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


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

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

Reorder the terms:
-15 + 15n = (5 + 5n) + 9

Remove parenthesis around (5 + 5n)
-15 + 15n = 5 + 5n + 9

Reorder the terms:
-15 + 15n = 5 + 9 + 5n

Combine like terms: 5 + 9 = 14
-15 + 15n = 14 + 5n

Solving
-15 + 15n = 14 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-15 + 15n + -5n = 14 + 5n + -5n

Combine like terms: 15n + -5n = 10n
-15 + 10n = 14 + 5n + -5n

Combine like terms: 5n + -5n = 0
-15 + 10n = 14 + 0
-15 + 10n = 14

Add '15' to each side of the equation.
-15 + 15 + 10n = 14 + 15

Combine like terms: -15 + 15 = 0
0 + 10n = 14 + 15
10n = 14 + 15

Combine like terms: 14 + 15 = 29
10n = 29

Divide each side by '10'.
n = 2.9

Simplifying
n = 2.9

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