What is obtained after simplifying (4(3p-2q)-2(5p+q)+7q)?

Correct answer: \(2p-3q\)

Using the distributive property, \(4(3p-2q)=12p-8q\) and \(-2(5p+q)=-10p-2q\). Thus, the expression becomes \(12p-8q-10p-2q+7q\). Combining like terms gives \(12p-10p=2p\) and \(-8q-2q+7q=-3q\), so the result is \(2p-3q\). In \(2p+3q\), the sign of the \(q\)-term is incorrect. Exam tip: when a negative multiplier is outside brackets, apply it to every term inside the brackets.