To solve the equation \( 4 \left( \frac{7}{4z} + 6 \right) \), we first distribute the 4 across the terms inside the parentheses.

### Step 1: Distribute 4
\[
4 \cdot \left( \frac{7}{4z} \right) + 4 \cdot 6 = \frac{28}{z} + 24
\]

This simplifies the expression to:
\[
\frac{28}{z} + 24
\]

This is as simplified as the expression gets unless you're solving for \( z \), which would require additional steps if the equation equals something specific.

Would you like to solve for \( z \

This guide shows how to simplify the rational expression 4(7/4z + 6) using the distributive property. The step-by-step solution breaks down how to distribute terms and simplify the equation, making it ideal for students in Grades 8-10 learning algebraic simplifications.

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