Question

solve for the value of p.

Explanation:

Step1: Use the straight - angle property

The sum of angles on a straight line is \(180^{\circ}\). So, \((6p + 3)+(9p-3)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(6p+3 + 9p-3=(6p + 9p)+(3 - 3)=15p\). The equation becomes \(15p=180\).

Step3: Solve for \(p\)

Divide both sides of the equation \(15p = 180\) by \(15\). We get \(p=\frac{180}{15}\).

Answer:

\(p = 12\)