1. **State the problem:** We know 8 machines can assemble 6 printers in 10 hours. We want to find how many hours 5 machines will take to assemble 12 printers. 2. **Understand the work rate:** The total work done is assembling printers. Work rate is printers per hour per machine. 3. **Calculate the rate of one machine:** Total printers assembled by 8 machines in 10 hours is 6. Work rate of 8 machines = $\frac{6 \text{ printers}}{10 \text{ hours}} = 0.6$ printers/hour. Work rate of 1 machine = $\frac{0.6}{8} = 0.075$ printers/hour. 4. **Calculate the time for 5 machines to assemble 12 printers:** Work rate of 5 machines = $5 \times 0.075 = 0.375$ printers/hour. Time required = $\frac{\text{Total printers}}{\text{Rate}} = \frac{12}{0.375} = 32$ hours. 5. **Final answer:** It will take 5 machines 32 hours to assemble 12 printers.