Question

1. 16 - 4r = 1 + 3r - 4r

Explanation:

Step1: Simplify right side

Combine like terms: \(3r - 4r=-r\), so equation becomes \(16 - 4r = 1 - r\).

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

\(16 - 4r + 4r = 1 - r + 4r\), simplifies to \(16 = 1 + 3r\).

Step3: Subtract 1 from both sides

\(16 - 1 = 1 + 3r - 1\), gives \(15 = 3r\).

Step4: Divide by 3

\(\frac{15}{3}=\frac{3r}{3}\), so \(r = 5\).

Answer:

\(r = 5\)