Final answer:
To rewrite the equation using the distributive property, we need to distribute the 8 to both terms inside the parentheses. This results in the equation 24m + 32 = m.
Step-by-step explanation:
To rewrite the equation using the distributive property, we need to distribute the 8 to both terms inside the parentheses. This means multiplying 8 by both 3m and 4.
Starting with 8 multiplied by 3m, we have 8 * 3m = 24m.
Next, 8 multiplied by 4 is 32. So the equation becomes 24m + 32 = m.
Now we can solve for m by isolating it on one side of the equation. Subtracting m from both sides gives us 24m - m + 32 = 0.
Combining like terms gives us 23m + 32 = 0. This is the rewritten equation using the distributive property.