Question

m=15
h) 18 - 4r = 2(r - 3)

Explanation:

planation:

Step1: Expand the right side

Using the distributive property \(a(b - c)=ab - ac\), we expand \(2(r - 3)\) to get \(2r-6\). So the equation becomes \(18 - 4r=2r - 6\).

Step2: Add \(4r\) to both sides

Adding \(4r\) to both sides to get rid of the \(-4r\) on the left. We have \(18-4r + 4r=2r-6 + 4r\), which simplifies to \(18 = 6r-6\).

Step3: Add 6 to both sides

Adding 6 to both sides to isolate the term with \(r\). So \(18 + 6=6r-6 + 6\), which gives \(24 = 6r\).

Step4: Divide both sides by 6

Dividing both sides by 6 to solve for \(r\). \(\frac{24}{6}=\frac{6r}{6}\), so \(r = 4\).

Answer:

\(r = 4\)