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Use the distributive property to write an equivalent variable expression. -5(4j-1)Question
Use the distributive property to write an equivalent variable expression.
(-1 + 7 + 9)3x
(-1 + 7 + 9)3x
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Answered by
GPT-4o mini
To use the distributive property to simplify the expression \((-1 + 7 + 9)3x\), we first simplify the expression inside the parentheses:
\[
-1 + 7 + 9 = 6 + 9 = 15.
\]
Now, we rewrite the original expression using this result:
\[
15 \cdot 3x.
\]
Next, we can use the distributive property to expand this:
\[
15 \cdot 3x = (15 \cdot 3)x = 45x.
\]
Thus, the equivalent variable expression is:
\[
\boxed{45x}.
\]
\[
-1 + 7 + 9 = 6 + 9 = 15.
\]
Now, we rewrite the original expression using this result:
\[
15 \cdot 3x.
\]
Next, we can use the distributive property to expand this:
\[
15 \cdot 3x = (15 \cdot 3)x = 45x.
\]
Thus, the equivalent variable expression is:
\[
\boxed{45x}.
\]
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