Solve Equations using the Division and Multiplication Properties of Equality: example 2.21

Translate and solve: $n$ divided by 8 is $−32$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Translate and solve: $n$ divided by 7 is equal to $−21$ .

How did it go?

Begin by translating the sentence into an equation. Translate.
Multiple both sides by 8.
Simplify.
Check:	Is $n$ divided by 8 equal to −32?
Let $n = −256$ .	Is $−256$ divided by $8$ equal to $−32$ ?
Translate.	$\frac{−256}{8} \overset{?}{=} −32$
Simplify.	$−32 = −32 ✓$

Begin by translating the sentence into an equation. Translate.
Multiple both sides by 8.
Simplify.
Check:	Is $n$ divided by 8 equal to −32?
Let $n = −256$ .	Is $−256$ divided by $8$ equal to $−32$ ?
Translate.	$\frac{−256}{8} \overset{?}{=} −32$
Simplify.	$−32 = −32 ✓$