1. **State the problem:** Simplify the expression $(-r+4s)+2r-(-2s+r)$. 2. **Recall the rules:** When removing parentheses, remember that a minus sign before parentheses changes the signs of all terms inside. Also, combine like terms (terms with the same variable). 3. **Remove parentheses carefully:** $$(-r+4s)+2r-(-2s+r) = -r + 4s + 2r + 2s - r$$ Explanation: The minus before $(-2s+r)$ changes $-2s$ to $+2s$ and $+r$ to $-r$. 4. **Combine like terms:** For $r$: $-r + 2r - r = (-1 + 2 - 1)r = 0r = 0$ For $s$: $4s + 2s = 6s$ 5. **Final simplified expression:** $$6s$$