Which expression is equivalent to 3(-7d + 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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