Question

If n = 8 and 16 • 2m = 4n – 8, then m = ?

Answer 1

Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with answering your question, and will teach you how to handle it on your own in the future.

First, let's examine the question, and proceed to evaluate once we understand what we're dealing with.

"If n = 8, and 16 • 2m = 4n - 8, then m = ?"
This question is requesting for us to input the value for n, and then solve for m.

Here is our equation:
16 • 2m = 4n - 8

Let's plug in 8 for n.
Our equation should look like this now:
16 • 2m = 4(8) -8
First, let's get 4(8) by itself; Add 8 to both sides.
16 + 8 = 24
-8 + 8 = 0

Our equation is now:
24 • 2m = 4(8)
Multiply 4 by 8 to simplify the right side of the equation.
4 • 8 = 32

Now we have:
24 • 2m = 32

To solve for m, we need to isolate 2m and then divide both sides by 2.
Subtract 24 from both sides to isolate 2m.
24 - 24 = 0
32 - 24 = 8

Our equation is now:
2m = 8
Divide both sides by 2 to solve for m.
2m / 2 = m
8 / 2 = 4


Our final equation and solution is:
m = 4.
The value for m is 4.
I hope this helps!