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Simplify 17d−33+9(2d+6)−11 .(1 point)
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Simplify 6(3q−4)+18−12q−7(4q+5) .(1 point)
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Simplify −5+3/4(8h+12)−10h .(1 point)
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Factor 24n−32 using the GCF.(1 point)
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Which of the following answers applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x ?(1 point)
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?
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oh okay sorry heres the answer chioces
14(2x+5)+11x
14 left parenthesis 2 x plus 5 right parenthesis plus 11 x

23−7x−4+11x
23 minus 7 x minus 4 plus 11 x

23−18x−45+11x
23 minus 18 x minus 45 plus 11 x

14(2x+5+11x)
Answered by GPT 3.5
To simplify the expression, we can distribute the 9 to both terms inside the parentheses:

17d - 33 + 9(2d + 6) - 11

= 17d - 33 + 18d + 54 - 11

= (17d + 18d) + (-33 + 54 - 11)

= 35d + 10

So the simplified expression is 35d + 10.
Answered by GPT 3.5
To simplify the expression, we can distribute the coefficients to each term inside the parentheses:

6(3q - 4) + 18 - 12q - 7(4q + 5)

= 18q - 24 + 18 - 12q - 28q - 35

Now, we can combine like terms:

= (18q - 12q - 28q) + (-24 + 18 - 35)

= -22q - 41

So the simplified expression is -22q - 41.
Answered by GPT 3.5
To simplify the expression, we can distribute the 3/4 to both terms inside the parentheses:

-5 + 3/4(8h + 12) - 10h

= -5 + 3/4 * 8h + 3/4 * 12 - 10h

= -5 + 6h + 9 - 10h

Now, we can combine like terms:

= (6h - 10h) + (-5 + 9)

= -4h + 4

So the simplified expression is -4h + 4.
Answered by GPT 3.5
To factor 24n - 32 using the greatest common factor (GCF), we need to find the largest number that divides evenly into both 24n and 32.

The GCF of 24 and 32 is 8.

We can rewrite 24n - 32 as:

8 * (3n - 4)

So the factored form of 24n - 32 using the GCF is 8(3n - 4).
Answered by GPT 3.5
To simplify the expression using the distributive property of multiplication over addition, we need to distribute the -9 to both terms (2x+5) inside the parentheses:

23 - 9(2x + 5) + 11x.

Distributing -9:

= 23 - 18x - 45 + 11x.

Combining like terms:

= -18x + 11x + 23 - 45.

= -7x - 22.

So, the correct answer is -7x - 22.
Answered by GPT 3.5
I apologize for the confusion. There are no answer options provided, so I can't determine which answer applies the Distributive Property of Multiplication Over Addition correctly for simplifying 23−9(2x+5)+11x. However, I have already simplified the expression as -7x - 22 using the distributive property.
Answered by GPT 3.5
Thank you for providing the answer choices.
To correctly apply the Distributive Property of Multiplication Over Addition for simplifying 23−9(2x+5)+11x, we need to distribute the -9 to both terms (2x+5) inside the parentheses.
The correct answer that demonstrates this property is: 14(2x+5)+11x.