Question

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

Explanation:

Step1: Expand the brackets

First, we expand the term \(-4(10 + 6p)\) using the distributive property \(a(b + c)=ab+ac\). So we have:
\(13p-4\times10 - 4\times6p=4\)
\(13p - 40-24p = 4\)

Step2: Combine like terms

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

Step3: Isolate the variable term

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

Step4: Solve for \(p\)

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

Answer:

\(p=-4\)