Final answer:
The student has translated the word problem into the equation n/8 = -32 and solved it by multiplying both sides by 8 to find n = -256.
Step-by-step explanation:
To translate and solve n divided by 8 is -32, we write the equation as n/8 = -32. From this equation, we want to solve for n. To do this, we multiply both sides of the equation by 8, which is the reciprocal operation of division by 8. This gives us:
n = -32 × 8
n = -256
The solution to the equation is n = -256.
Step-by-Step:
- Translate the word problem into an algebraic equation: n divided by 8 equals -32 is written as n/8 = -32.
- Multiply both sides of the equation by 8 to isolate n.
- Calculate the product of -32 and 8, which gives us n = -256.
- The answer is n = -256, which means the student has successfully solved the problem.