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))=444(3-4(3-v))=44?

Here are the steps:



4(3−4(3−v))=444(3-4(3-v))=44

1
Divide both sides by 44.
3−4(3−v)=4443-4(3-v)=\frac{44}{4}

2
Simplify  444\frac{44}{4}  to  1111.
3−4(3−v)=113-4(3-v)=11

3
Subtract 33 from both sides.
−4(3−v)=11−3-4(3-v)=11-3

4
Simplify  11−311-3  to  88.
−4(3−v)=8-4(3-v)=8

5
Divide both sides by −4-4.
3−v=−843-v=-\frac{8}{4}

6
Simplify  84\frac{8}{4}  to  22.
3−v=−23-v=-2

7
Subtract 33 from both sides.
−v=−2−3-v=-2-3

8
Simplify  −2−3-2-3  to  −5-5.
−v=−5-v=-5

9
Multiply both sides by −1-1.
v=5v=5

Done
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