To solve for the expression [tex]\(7d - b\)[/tex] given that [tex]\(d = -2\)[/tex] and [tex]\(b = -3\)[/tex], follow these steps:
1. Substitute the given values of [tex]\(d\)[/tex] and [tex]\(b\)[/tex] into the expression [tex]\(7d - b\)[/tex].
2. Replace [tex]\(d\)[/tex] with [tex]\(-2\)[/tex]:
[tex]\[
7(-2) - b
\][/tex]
3. Next, replace [tex]\(b\)[/tex] with [tex]\(-3\)[/tex]:
[tex]\[
7(-2) - (-3)
\][/tex]
4. Compute [tex]\(7 \times -2\)[/tex]:
[tex]\[
7 \times -2 = -14
\][/tex]
5. Now, the expression is:
[tex]\[
-14 - (-3)
\][/tex]
6. Subtracting a negative number is the same as adding its positive counterpart:
[tex]\[
-14 + 3
\][/tex]
7. Finally, compute [tex]\(-14 + 3\)[/tex]:
[tex]\[
-14 + 3 = -11
\][/tex]
Thus, the value of the expression [tex]\(7d - b\)[/tex] is [tex]\(-11\)[/tex].
