8n=2n+5(n+3)

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Solution for 8n=2n+5(n+3) equation:


Simplifying
8n = 2n + 5(n + 3)

Reorder the terms:
8n = 2n + 5(3 + n)
8n = 2n + (3 * 5 + n * 5)
8n = 2n + (15 + 5n)

Reorder the terms:
8n = 15 + 2n + 5n

Combine like terms: 2n + 5n = 7n
8n = 15 + 7n

Solving
8n = 15 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
8n + -7n = 15 + 7n + -7n

Combine like terms: 8n + -7n = 1n
1n = 15 + 7n + -7n

Combine like terms: 7n + -7n = 0
1n = 15 + 0
1n = 15

Divide each side by '1'.
n = 15

Simplifying
n = 15

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