The equation you've written is:

\[
-3(7 = 5g)
\]

Let's simplify and solve it step by step.

### Step 1: Distribute the \(-3\) across the terms inside the parentheses.

\[
-3 \times 7 = -21
\]
\[
-3 \times 5g = -15g
\]

This gives us:

\[
-21 = -15g
\]

### Step 2: Solve for \(g\).

Now, divide both sides of the equation by \(-15\) to isolate \(g\):

\[
g = \frac{-21}{-15}
\]

Simplifying the fraction:

\[
g = \frac{7}{5}
\]

### Final Answer:
\[
g = \frac{7}{5} \text{ or } 1.4
\]

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

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Here are 5 related questions to expand your understanding:

1. How do you solve equations with multiple terms inside parentheses?
2. What happens if we have different signs inside the parentheses?
3. Can you solve for \(g\) if the equation involved fractions from the start?
4. How do you simplify fractions like \(\frac{-21}{-15}\)?
5. What would the solution look like if we had decimal coefficients?

**Tip:** Always simplify your fractions whenever possible for a cleaner answer.

This detailed guide demonstrates how to solve the algebraic equation -3(7 = 5g) by distributing the -3 and isolating the variable. This problem explores key algebraic concepts such as the distributive property and basic equation-solving techniques. Ideal for students in Grades 6-8.

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