To solve for \( k \) in the equation \( M = 4 \cdot 1 \cdot k(b - c) \), we first simplify the expression:

\[
M = 4k(b - c)
\]

Now, to isolate \( k \), divide both sides of the equation by \( 4(b - c) \):

\[
k = \frac{M}{4(b - c)}
\]

So the value of \( k \) is:

\[
k = \frac{M}{4(b - c)}
\]

Would you like further details on any step?

### Related questions:
1. How would the formula change if \( M \) was squared?
2. What happens if \( b = c \)? What does this imply for \( k \)?
3. How would you solve for \( M \) if \( k \) was known?
4. How would the equation change if there was an additional term in \( M \)?
5. Can you derive this equation using a real-world example?

**Tip**: Always check for special cases like division by zero when solving algebraic equations!

Learn how to solve for k in the equation M = 4k(b - c) by isolating the variable k. This step-by-step solution covers key algebraic concepts such as linear equations and variable manipulation. Suitable for students in Grades 6-8.

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