Chapter R - Algebra Reference - R.1 Polynomials - R.1 Exercises - Page R-5: 3

$-6(2q^{2}+4q-3)+4(-q^{2}+7q-3)=-16q^{2}+4q+6$

$-6(2q^{2}+4q-3)+4(-q^{2}+7q-3)$ Multiply $-6$ and $4$ by each term inside its respective parentheses and then simplify by combining like terms: $(-12q^{2}-24q+18)+(-4q^{2}+28q-12)=-16q^{2}+4q+6$