Which expression is equivalent to 3(-7d + 1)?
1(3d – 7)
(-7d + 1)3
3(d – 7)
-7(3d + 1)
Which expression is equivalent to 3(-7d + 1)
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Which expression is equivalent to 3(-7d + 1)?
1(3d – 7)
(-7d + 1)3
3(d – 7)
-7(3d + 1)
To simplify the expression 3(-7d + 1), we distribute the 3 to both terms inside the parentheses:
3(-7d) + 3(1) = -21d + 3.
Now, let’s check which option is equivalent to -21d + 3:
1. 1(3d – 7) simplifies to 3d – 7, which is not equivalent.
2. (-7d + 1)3 simplifies to -21d + 3, which matches our result!
3. 3(d – 7) simplifies to 3d – 21, which is not equivalent.
4. -7(3d + 1) simplifies to -21d – 7, which is not equivalent.
The correct answer is (-7d + 1)3.
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