1. **State the problem:** Subtract the polynomial $(-q^2 + 4q)$ from $(-5q^2 + 6q + 7)$. 2. **Write the expression:** $$(-5q^2 + 6q + 7) - (-q^2 + 4q)$$ 3. **Apply the subtraction:** Remember that subtracting a polynomial means changing the signs of each term in the second polynomial and then adding. $$= -5q^2 + 6q + 7 + q^2 - 4q$$ 4. **Combine like terms:** Group the $q^2$ terms and the $q$ terms together. $$(-5q^2 + q^2) + (6q - 4q) + 7$$ 5. **Simplify each group:** $$-4q^2 + 2q + 7$$ 6. **Final answer:** The polynomial in standard form is $$\boxed{-4q^2 + 2q + 7}$$