solve for p. give an exact answer. 4 + 2p = 10(\\frac{3}{5}p - 2)

Explanation:

Step1: Expand the right - hand side

$4 + 2p=10\times\frac{3}{5}p-10\times2$ $4 + 2p = 6p-20$

Step2: Move terms with $p$ to one side

Subtract $2p$ from both sides: $4=6p - 2p-20$. $4 = 4p-20$

Step3: Isolate the term with $p$

Add 20 to both sides: $4 + 20=4p$. $24 = 4p$

Step4: Solve for $p$

Divide both sides by 4: $p=\frac{24}{4}$

Answer:

$p = 6$