1. The problem involves simplifying algebraic expressions given in rectangular boxes. 2. We start with the first expression: $9 - f + 5$. 3. Combine like terms: $9 + 5 = 14$, so the expression simplifies to: $$14 - f$$ 4. Next, the second expression: $69 - f + 5$. 5. Combine like terms: $69 + 5 = 74$, so the expression simplifies to: $$74 - f$$ 6. The third expression is $f(69 - 6f + 34)$. 7. Combine like terms inside the parentheses: $69 + 34 = 103$, so it becomes: $$f(103 - 6f)$$ 8. Distribute $f$: $$f \times 103 - f \times 6f = 103f - 6f^2$$ 9. The fourth expression is $9 - f - 5$. 10. Combine like terms: $9 - 5 = 4$, so it simplifies to: $$4 - f$$ 11. The fifth expression is $69 - 6f + 30$. 12. Combine like terms: $69 + 30 = 99$, so it simplifies to: $$99 - 6f$$ 13. The sixth expression is $69 - 2f + 30$. 14. Combine like terms: $69 + 30 = 99$, so it simplifies to: $$99 - 2f$$ Final simplified expressions: 1. $14 - f$ 2. $74 - f$ 3. $103f - 6f^2$ 4. $4 - f$ 5. $99 - 6f$ 6. $99 - 2f$