solve for p.\n13p - 4(10 + 6p) = 4\np =

Explanation:

Step1: Expand the brackets

$$ \begin{align*} 13p-4(10 + 6p)&=4\ 13p-(4\times10+4\times6p)&=4\ 13p-(40 + 24p)&=4\ 13p-40-24p&=4 \end{align*} $$

Step2: Combine like - terms

$$ \begin{align*} 13p-24p-40&=4\ (13 - 24)p-40&=4\ -11p-40&=4 \end{align*} $$

Step3: Isolate the term with (p)

Add (40) to both sides of the equation: $$ \begin{align*} -11p-40 + 40&=4+40\ -11p&=44 \end{align*} $$

Step4: Solve for (p)

Divide both sides by (-11): $$ p=\frac{44}{-11}=- 4 $$

Answer:

(-4)