Answer:
![26](https://img.qammunity.org/2021/formulas/mathematics/middle-school/d3uib7ud4d90ftsqax8psjhnxa0ky7d47h.png)
Explanation:
![2n-6](https://img.qammunity.org/2021/formulas/mathematics/high-school/iy5x9oumoah1rd60m67g7znukbnke1eiyd.png)
Given that:
![n=16](https://img.qammunity.org/2021/formulas/mathematics/high-school/l3k0kl7p1rj8ew1xhny377gh38wche80zl.png)
To evaluate the expression, we must simply substitute the given value of
, which is
, for
:
![2(16)-6](https://img.qammunity.org/2021/formulas/mathematics/high-school/b676cf47t0f1e6fkq9ubxjzvgabryabofc.png)
Multiply:
![32-6](https://img.qammunity.org/2021/formulas/mathematics/high-school/u2gn7aivecg9cxxuja0ayuq1c5qze31lea.png)
Subtract:
![26](https://img.qammunity.org/2021/formulas/mathematics/middle-school/d3uib7ud4d90ftsqax8psjhnxa0ky7d47h.png)
-
To check your work, simply set the given expression equal to our solution,
:
![2n-6=26](https://img.qammunity.org/2021/formulas/mathematics/high-school/kptfsfsxj8m1u1yi298eggut99d9kuuggv.png)
Add
to both sides of the equation:
![2n=32](https://img.qammunity.org/2021/formulas/mathematics/high-school/hfktdmhs5w9dfphrunmwtv3ixnaaey3hda.png)
Divide both sides of the equation by the coefficient of
, which is
:
![n=16](https://img.qammunity.org/2021/formulas/mathematics/high-school/l3k0kl7p1rj8ew1xhny377gh38wche80zl.png)
Since it matches the given value of
, our solution is correct!