15) $10p + 9 - 11 - p=-2(2p + 4)-3(2p - 2)$
15) $10p + 9 - 11 - p=-2(2p + 4)-3(2p - 2)$
Answer
Explanation:
Step1: Simplify both sides
On the left - hand side, combine like terms: $(10p - p)+(9 - 11)=9p - 2$. On the right - hand side, use the distributive property: $-2(2p + 4)-3(2p - 2)=-4p-8 - 6p + 6=-10p-2$. So the equation becomes $9p - 2=-10p-2$.
Step2: Add $10p$ to both sides
To get all the $p$ terms on one side, $9p+10p - 2=-10p+10p-2$, which simplifies to $19p - 2=-2$.
Step3: Add 2 to both sides
$19p-2 + 2=-2 + 2$, resulting in $19p=0$.
Step4: Solve for $p$
Divide both sides by 19: $p=\frac{0}{19}=0$.
Answer:
$p = 0$