8n+3(3+n)=15-6n

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Solution for 8n+3(3+n)=15-6n equation:


Simplifying
8n + 3(3 + n) = 15 + -6n
8n + (3 * 3 + n * 3) = 15 + -6n
8n + (9 + 3n) = 15 + -6n

Reorder the terms:
9 + 8n + 3n = 15 + -6n

Combine like terms: 8n + 3n = 11n
9 + 11n = 15 + -6n

Solving
9 + 11n = 15 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
9 + 11n + 6n = 15 + -6n + 6n

Combine like terms: 11n + 6n = 17n
9 + 17n = 15 + -6n + 6n

Combine like terms: -6n + 6n = 0
9 + 17n = 15 + 0
9 + 17n = 15

Add '-9' to each side of the equation.
9 + -9 + 17n = 15 + -9

Combine like terms: 9 + -9 = 0
0 + 17n = 15 + -9
17n = 15 + -9

Combine like terms: 15 + -9 = 6
17n = 6

Divide each side by '17'.
n = 0.3529411765

Simplifying
n = 0.3529411765

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