Question

an expression is shown.
$-\frac{3}{4}(24x - 12)=square+square$
move a term into each blank to create an equivalent expression.
:: 18x :: $-21x$ :: $-18x$ :: $-32x$ :: $-16$ :: $-9$ :: 9 :: 16

Explanation:

Step1: Distribute \(-\frac{3}{4}\) to \(24x\)

To distribute \(-\frac{3}{4}\) to \(24x\), we multiply \(-\frac{3}{4}\) and \(24x\).

$$ -\frac{3}{4} \times 24x = -\frac{3\times24x}{4} = -3\times6x = -18x $$

Step2: Distribute \(-\frac{3}{4}\) to \(-12\)

Next, we distribute \(-\frac{3}{4}\) to \(-12\).

$$ -\frac{3}{4} \times (-12) = \frac{3\times12}{4} = 3\times3 = 9 $$

Step3: Combine the results

After distributing, we combine the two terms we found. So, \(-\frac{3}{4}(24x - 12)=-18x + 9\).

Answer:

\(-18x\) and \(9\) (the two blanks should be filled with \(-18x\) and \(9\) respectively)