Combine like terms to simplify. The first one is done for you. \[ \begin{array}{l}\text { 5. } 4 r+5 n^{2}-3 r+9-2 n-2 \\ \text { 6. } 3 v+7-2 n \\ \text { 7. } 8 c^{2}+6 c-2 c^{2}-5 c \\ \text { 8. } z+5 e+3 z+13-8-2 e\end{array} \]

Simplify the expression by following steps: - step0: Solution: \(3v+7-2n\) Calculate or simplify the expression \( z + 5 e + 3 z + 13 - 8 - 2 e \). Simplify the expression by following steps: - step0: Solution: \(z+5e+3z+13-8-2e\) - step1: Add the terms: \(4z+3e+5\) Calculate or simplify the expression \( 4 r + 5 n^{2} - 3 r + 9 - 2 n - 2 \). Simplify the expression by following steps: - step0: Solution: \(4r+5n^{2}-3r+9-2n-2\) - step1: Subtract the terms: \(r+5n^{2}+7-2n\) Calculate or simplify the expression \( 8 c^{2} + 6 c - 2 c^{2} - 5 c \). Simplify the expression by following steps: - step0: Solution: \(8c^{2}+6c-2c^{2}-5c\) - step1: Subtract the terms: \(6c^{2}+c\) Here are the simplified expressions for each of the problems: 5. \( 4r + 5n^{2} - 3r + 9 - 2n - 2 \) simplifies to: \[ r + 5n^{2} + 7 - 2n \] 6. \( 3v + 7 - 2n \) remains as: \[ 3v + 7 - 2n \] 7. \( 8c^{2} + 6c - 2c^{2} - 5c \) simplifies to: \[ 6c^{2} + c \] 8. \( z + 5e + 3z + 13 - 8 - 2e \) simplifies to: \[ 4z + 3e + 5 \] If you have any further questions or need additional assistance, feel free to ask!