Question

solve the equation 4(p + 5) = 21. what is the value of p? 4(p + 5) = 21 4p + 20 = 21 - 20 - 20 subtract 20 on both sides. 4p = 1 (4p)/4 = 1/4 divide by 4 on both sides. p = \boxed{}

Explanation:

Step1: Expand the left side

Given the equation \(4(p + 5)=21\), we use the distributive property \(a(b + c)=ab+ac\) (here \(a = 4\), \(b=p\), \(c = 5\)) to get \(4p+20 = 21\).

Step2: Subtract 20 from both sides

Subtract 20 from each side of the equation \(4p + 20=21\). So, \(4p+20-20=21 - 20\), which simplifies to \(4p=1\).

Step3: Divide both sides by 4

Divide both sides of the equation \(4p = 1\) by 4. We have \(\frac{4p}{4}=\frac{1}{4}\), which gives \(p=\frac{1}{4}\).

Answer:

\(\frac{1}{4}\)