Question

solve for p. 13p - 4(10 + 6p) = 4 p =

Explanation:

Step1: Distribute the -4

First, we distribute the -4 into the parentheses \(10 + 6p\). Using the distributive property \(a(b + c)=ab+ac\), we get:
\(13p-4\times10 - 4\times6p=4\)
\(13p - 40-24p = 4\)

Step2: Combine like terms

Next, we combine the \(p\)-terms. \(13p-24p=- 11p\), so the equation becomes:
\(-11p-40 = 4\)

Step3: Add 40 to both sides

We add 40 to both sides of the equation to isolate the term with \(p\).
\(-11p-40 + 40=4 + 40\)
\(-11p=44\)

Step4: Divide by -11

Finally, we divide both sides of the equation by - 11 to solve for \(p\).
\(\frac{-11p}{-11}=\frac{44}{-11}\)
\(p=- 4\)

Answer:

\(-4\)