To solve the equation [tex]\(-2b = -35\)[/tex] for [tex]\(b\)[/tex], we need to isolate [tex]\(b\)[/tex] on one side of the equation. Here are the steps to do so:
1. Identify the equation:
[tex]\[
-2b = -35
\][/tex]
2. Divide both sides of the equation by -2 to isolate [tex]\(b\)[/tex]:
[tex]\[
b = \frac{-35}{-2}
\][/tex]
3. Simplify the right side of the equation:
Divide [tex]\(-35\)[/tex] by [tex]\(-2\)[/tex]:
[tex]\[
b = \frac{35}{2}
\][/tex]
We can also express this in decimal form:
[tex]\[
b = 17.5
\][/tex]
4. Conclusion:
Hence, the value of [tex]\(b\)[/tex] that satisfies the equation [tex]\(-2b = -35\)[/tex] is:
[tex]\[
b = 17.5
\][/tex]
