solve for b and simplify your answer -4=-6/5b

We are given the equation:

\[
-4 = \frac{-6}{5}b
\]

### Steps to solve for \( b \):

1. **Isolate \( b \):**
   To remove the fraction, multiply both sides of the equation by \( \frac{5}{-6} \), which is the reciprocal of \( \frac{-6}{5} \).

   \[
   b = \frac{5}{-6} \times (-4)
   \]

2. **Simplify the expression:**
   Now, simplify the right-hand side:

   \[
   b = \frac{5}{-6} \times (-4) = \frac{-20}{-6}
   \]

   Simplifying further:

   \[
   b = \frac{10}{3}
   \]

Thus, the value of \( b \) is:

\[
b = \frac{10}{3}
\]

Would you like further details or clarification?

Here are 5 related questions to practice:
1. Solve \( 2 = \frac{-8}{3}x \).
2. Simplify \( -3 = \frac{9}{4}x \).
3. Solve \( 5 = \frac{-15}{7}y \).
4. Simplify and solve \( -6 = \frac{-18}{5}z \).
5. Solve for \( m \) in \( 7 = \frac{-21}{8}m \).

**Tip:** When solving equations with fractions, multiplying both sides by the reciprocal of the fraction simplifies the problem.

Learn how to solve the linear equation -4 = -6/5b and simplify the solution. This step-by-step guide demonstrates the reciprocal method for eliminating fractions and solving for b. Ideal for students in Grades 7-9 studying algebra and linear equations.

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