To create an equivalent expression from \(-\frac{3}{4}(24x - 12)\), we can first distribute \(-\frac{3}{4}\) across the terms inside the parentheses.
Let's calculate it step by step:
- Distribute \(-\frac{3}{4}\):
\[ -\frac{3}{4}(24x) + -\frac{3}{4}(-12) \]
- Calculate each term:
-
For the first term: \[ -\frac{3}{4} \times 24x = -18x \]
-
For the second term: \[ -\frac{3}{4} \times -12 = 9 \]
- Putting it together, we get:
\[ -\frac{3}{4}(24x - 12) = -18x + 9 \]
Therefore, you can fill the blanks with \(-18x\) in the first blank and \(9\) in the second blank.
The final expression would be:
\(-3/4(24x - 12) = -18x + 9\)
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