Question

solve below, or solve on paper and then enter your answer on zearn. whats the value of q?
$6(q + 24) = 54q$
$q = \square$

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(6(q + 24)\) to get \(6q+144\). So the equation becomes \(6q + 144=54q\).

Step2: Subtract \(6q\) from both sides

Subtract \(6q\) from each side to get \(144 = 54q-6q\). Simplifying the right side, \(54q - 6q = 48q\), so the equation is \(144 = 48q\).

Step3: Solve for \(q\)

Divide both sides by \(48\): \(q=\frac{144}{48}\). Simplifying the fraction, \(\frac{144}{48}=3\).

Answer:

\(3\)