To solve the equation \(3(n + 3) = -4n + 30\), follow these steps:
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Distribute the 3 on the left side:
\[ 3n + 9 = -4n + 30 \]
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Next, add \(4n\) to both sides to combine the \(n\) terms:
\[ 3n + 4n + 9 = 30 \]
Simplifying this gives:
\[ 7n + 9 = 30 \]
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Now, subtract 9 from both sides:
\[ 7n = 30 - 9 \]
Which simplifies to:
\[ 7n = 21 \]
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Finally, divide both sides by 7:
\[ n = \frac{21}{7} \]
Thus:
\[ n = 3 \]
Therefore, the value of \(n\) is \(3\).