To solve the equation \( -1 = -\frac{5}{8}c + 9 \), follow these steps:

1. **Subtract 9 from both sides** of the equation to isolate the term with \( c \) on one side:
   \[
   -1 - 9 = -\frac{5}{8}c
   \]
   \[
   -10 = -\frac{5}{8}c
   \]

2. **Multiply both sides by \( -1 \)** to simplify the equation:
   \[
   10 = \frac{5}{8}c
   \]

3. **Multiply both sides by the reciprocal of \( \frac{5}{8} \)** to solve for \( c \):
   \[
   c = 10 \times \frac{8}{5}
   \]
   \[
   c = 16
   \]

So, the solution is \( c = 16 \).

Would you like more details, or do you have any questions about this process?

Here are five related questions:
1. How do you solve the equation \( -2 = -\frac{3}{4}c + 8 \)?
2. What happens if the equation is \( 1 = -\frac{5}{8}c + 9 \) instead?
3. How would you solve \( -1 = -\frac{5}{8}c \)?
4. What if the equation had \( c \) on both sides, like \( -1 = -\frac{5}{8}c + \frac{1}{2}c \)?
5. How do you solve for \( c \) if the equation is \( -1 = \frac{5}{8}c + 9 \)?

**Tip:** When dealing with fractions, multiplying by the reciprocal is an effective way to eliminate the fraction and solve for the variable.

Learn how to solve the equation -1 = -5/8c + 9 step-by-step with detailed explanations. This problem involves solving linear equations with fractions, suitable for students in Grades 7-9.

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