To find the value of the expression [tex]\(7w - 3\)[/tex] when [tex]\(w = 7\)[/tex], follow these steps:
1. Substitute [tex]\(w = 7\)[/tex] into the expression [tex]\(7w - 3\)[/tex].
The expression becomes:
[tex]\[
7(7) - 3
\][/tex]
2. Calculate the multiplication inside the parentheses first:
[tex]\[
7 \times 7 = 49
\][/tex]
3. Subtract 3 from the product obtained in the previous step:
[tex]\[
49 - 3 = 46
\][/tex]
Therefore, the value of the expression [tex]\(7w - 3\)[/tex] when [tex]\(w = 7\)[/tex] is [tex]\(46\)[/tex].