The given statement is,
"three times the absolute value of the sum of a number and 6".
Let the unknown number be n.
So, the statement " sum of a number and 6 " can be expressed as,
![n+6](https://img.qammunity.org/2023/formulas/mathematics/college/t08auuspbtkdpgl6x3n2lojo9cqvj5s2jj.png)
The statement "the absolute value of the sum of a number and 6" can be expressed as,
![|n+6|](https://img.qammunity.org/2023/formulas/mathematics/college/klorjftuigcmfcthe72u1t614vsw8tlpih.png)
Hence, the statement "three times the absolute value of the sum of a number and 6" can be expressed as,
![3|n+6|](https://img.qammunity.org/2023/formulas/mathematics/college/5jv46l6jtfgcoad5lpmkxpv87c3tdladce.png)