(5n+9)=(8n+3)

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Solution for (5n+9)=(8n+3) equation:


Simplifying
(5n + 9) = (8n + 3)

Reorder the terms:
(9 + 5n) = (8n + 3)

Remove parenthesis around (9 + 5n)
9 + 5n = (8n + 3)

Reorder the terms:
9 + 5n = (3 + 8n)

Remove parenthesis around (3 + 8n)
9 + 5n = 3 + 8n

Solving
9 + 5n = 3 + 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.
9 + 5n + -8n = 3 + 8n + -8n

Combine like terms: 5n + -8n = -3n
9 + -3n = 3 + 8n + -8n

Combine like terms: 8n + -8n = 0
9 + -3n = 3 + 0
9 + -3n = 3

Add '-9' to each side of the equation.
9 + -9 + -3n = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -3n = 3 + -9
-3n = 3 + -9

Combine like terms: 3 + -9 = -6
-3n = -6

Divide each side by '-3'.
n = 2

Simplifying
n = 2

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