5(2n-5)=(8n+4)+9

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Solution for 5(2n-5)=(8n+4)+9 equation:


Simplifying
5(2n + -5) = (8n + 4) + 9

Reorder the terms:
5(-5 + 2n) = (8n + 4) + 9
(-5 * 5 + 2n * 5) = (8n + 4) + 9
(-25 + 10n) = (8n + 4) + 9

Reorder the terms:
-25 + 10n = (4 + 8n) + 9

Remove parenthesis around (4 + 8n)
-25 + 10n = 4 + 8n + 9

Reorder the terms:
-25 + 10n = 4 + 9 + 8n

Combine like terms: 4 + 9 = 13
-25 + 10n = 13 + 8n

Solving
-25 + 10n = 13 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-25 + 10n + -8n = 13 + 8n + -8n

Combine like terms: 10n + -8n = 2n
-25 + 2n = 13 + 8n + -8n

Combine like terms: 8n + -8n = 0
-25 + 2n = 13 + 0
-25 + 2n = 13

Add '25' to each side of the equation.
-25 + 25 + 2n = 13 + 25

Combine like terms: -25 + 25 = 0
0 + 2n = 13 + 25
2n = 13 + 25

Combine like terms: 13 + 25 = 38
2n = 38

Divide each side by '2'.
n = 19

Simplifying
n = 19

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