Problem of the Week

Updated at Aug 13, 2018 11:10 AM

This week's problem comes from the equation category.

How would you solve the equation \(4(4n-3)-3=33\)?

Let's begin!



\[4(4n-3)-3=33\]

1
Add \(3\) to both sides.
\[4(4n-3)=33+3\]

2
Simplify  \(33+3\)  to  \(36\).
\[4(4n-3)=36\]

3
Divide both sides by \(4\).
\[4n-3=\frac{36}{4}\]

4
Simplify  \(\frac{36}{4}\)  to  \(9\).
\[4n-3=9\]

5
Add \(3\) to both sides.
\[4n=9+3\]

6
Simplify  \(9+3\)  to  \(12\).
\[4n=12\]

7
Divide both sides by \(4\).
\[n=\frac{12}{4}\]

8
Simplify  \(\frac{12}{4}\)  to  \(3\).
\[n=3\]

Done
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