Complete the process of solving the equation. Fill in the missing term and select the missing description. Simplify any fractions. \[ \begin{array}{l} \frac{9}{3}+18=11 \\ \frac{9}{3}=-7 \\ q=\square \\ \text { Multiply both sides by } 3\end{array} \]
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Extra Insights
First, let's simplify the fraction \(\frac{9}{3}\), which equals \(3\). Now, substituting this back into the equation, we have \(3 + 18 = 11\). Clearly, this is not correct, so let’s find the correct equation to go along with it. With the equation \(3 + 18 = 11\), we can actually reframe that to look at the missed step in solving the equation. Instead of adding \(18\), we realize we should write \(18 - 18\) instead, which leads to \(3 = -7\) being the incorrect term. So, correcting our steps: 1. \(q = -7\) 2. The correct operation should be to subtract correctly from both sides. To fill in the missing term, we can see \(q = -7\), which means we have effectively solved for \(q\) incorrectly, yet our term indicates that we should multiply by \(3\)—which simply shifts the focus to a separate mathematical transformation that doesn't apply directly. Keep practicing, and feel free to adjust numbers for complementary practice!
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