Solve For B F7A4Db

1. **State the problem:** Solve for $b$ in the equation $$-\frac{5}{8} = -\frac{1}{2} + \frac{3}{4} b$$. 2. **Isolate the term with $b$:** Add $\frac{1}{2}$ to both sides to move the constant term to the left: $$-\frac{5}{8} + \frac{1}{2} = \frac{3}{4} b$$ 3. **Find a common denominator to add the fractions on the left:** $$-\frac{5}{8} + \frac{4}{8} = \frac{3}{4} b$$ 4. **Simplify the left side:** $$-\frac{5}{8} + \frac{4}{8} = -\frac{1}{8}$$ So, $$-\frac{1}{8} = \frac{3}{4} b$$ 5. **Solve for $b$ by dividing both sides by $\frac{3}{4}$:** $$b = \frac{-\frac{1}{8}}{\frac{3}{4}}$$ 6. **Rewrite the division as multiplication by the reciprocal:** $$b = -\frac{1}{8} \times \frac{4}{3}$$ 7. **Multiply the numerators and denominators:** $$b = -\frac{1 \times 4}{8 \times 3} = -\frac{4}{24}$$ 8. **Simplify the fraction by dividing numerator and denominator by 4:** $$b = -\frac{\cancel{4}^1}{\cancel{24}^6} = -\frac{1}{6}$$ **Final answer:** $$b = -\frac{1}{6}$$