Question

solve for p.
3(p + 1) + 2p = 13
p =

Explanation:

Step1: Expand the bracket

First, we expand \(3(p + 1)\) using the distributive property \(a(b + c)=ab+ac\). So, \(3(p + 1)=3p+3\). The equation becomes \(3p + 3+2p = 13\).

Step2: Combine like terms

Next, we combine the like terms \(3p\) and \(2p\). \(3p+2p = 5p\), so the equation is now \(5p+3 = 13\).

Step3: Subtract 3 from both sides

We subtract 3 from both sides of the equation to isolate the term with \(p\). \(5p+3 - 3=13 - 3\), which simplifies to \(5p = 10\).

Step4: Divide by 5

Finally, we divide both sides by 5 to solve for \(p\). \(\frac{5p}{5}=\frac{10}{5}\), so \(p = 2\).

Answer:

\(2\)