an expression is shown

Question

-3/4(24x - 12) = blank + blank

Move a term into each blank to create an equivalent expression

Answer 1

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:

1. Distribute $-\frac{3}{4}$:

$$-\frac{3}{4}(24x)+-\frac{3}{4}(-12)$$

2. Calculate each term:

• For the first term: $$-\frac{3}{4}\times 24x=-18x$$

• For the second term: $$-\frac{3}{4}\times -12=9$$

3. 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:

$-3/4(24x-12)=-18x+9$