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The equation provided is:

\[
3 = \frac{3}{7}(-5) + C
\]

Let's solve for \( C \):

1. First, calculate \(\frac{3}{7}(-5)\):

\[
\frac{3}{7} \times (-5) = -\frac{15}{7}
\]

2. Substitute this value back into the equation:

\[
3 = -\frac{15}{7} + C
\]

3. To isolate \( C \), add \(\frac{15}{7}\) to both sides:

\[
C = 3 + \frac{15}{7}
\]

4. Convert 3 to a fraction with the same denominator:

\[
3 = \frac{21}{7}
\]

5. Now, add the fractions:

\[
C = \frac{21}{7} + \frac{15}{7} = \frac{36}{7}
\]

So, the value of \( C \) is:

\[
C = \frac{36}{7} \approx 5.14
\]

Would you like further details, or do you have any other questions?

Here are some related questions you might find interesting:

1. What are the steps to simplify fractions?
2. How do you solve equations involving fractions?
3. How can we convert improper fractions to mixed numbers?
4. What is the significance of keeping the equation balanced?
5. How would the equation change if the sign of \(5\) was positive instead of negative?

**Tip:** Always check your work by substituting your solution back into the original equation to verify it satisfies the equation.

Learn how to solve the algebraic equation 3 = (3/7)(-5) + C step-by-step. This problem covers fraction multiplication, basic equation manipulation, and algebraic simplification techniques suitable for Grades 6-8.

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