Problem of the Week

Updated at Sep 2, 2024 10:06 AM

For this week we've brought you this equation problem.

How can we solve the equation \(4(3-4(3-v))=44\)?

Here are the steps:



\[4(3-4(3-v))=44\]

1
Divide both sides by \(4\).
\[3-4(3-v)=\frac{44}{4}\]

2
Simplify  \(\frac{44}{4}\)  to  \(11\).
\[3-4(3-v)=11\]

3
Subtract \(3\) from both sides.
\[-4(3-v)=11-3\]

4
Simplify  \(11-3\)  to  \(8\).
\[-4(3-v)=8\]

5
Divide both sides by \(-4\).
\[3-v=-\frac{8}{4}\]

6
Simplify  \(\frac{8}{4}\)  to  \(2\).
\[3-v=-2\]

7
Subtract \(3\) from both sides.
\[-v=-2-3\]

8
Simplify  \(-2-3\)  to  \(-5\).
\[-v=-5\]

9
Multiply both sides by \(-1\).
\[v=5\]

Done