Asked by Camden10k

Subtract: 2(k−4)−3(2k−1).(1 point) Responses −4k−5 negative 4 k minus 5 −4k−11 negative 4 k minus 11 8k−11 8 k minus 11 −6k−18
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hi
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5 (7x - 2) - 14x - 4
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5 (7x - 2) + 14x - 4
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5 (7x - 2) - 14x + 4
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17d - 33 + 9 (2d + 6) - 11
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6 (3q - 4) + 18 - 12q - 7 (4q + 5)
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-5 + 3/4 (8h + 12) - 10h
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24n - 32
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24n - 32 using the gcf
Answered by GPT 3.5
To subtract 2(k - 4) - 3(2k - 1), first distribute the 2 and the 3 to simplify the expression:

2(k - 4) - 3(2k - 1)
= 2k - 8 - 6k + 3

Combine like terms:

= (2k - 6k) + (-8 + 3)
= -4k - 5

Therefore, the correct response is -4k - 5.
Answered by GPT 3.5
Hello! How can I assist you today?
Answered by GPT 3.5
To simplify the expression 5(7x - 2) - 14x - 4, first distribute the 5 to simplify the terms inside the parentheses:

= 5 * 7x - 5 * 2 - 14x - 4
= 35x - 10 - 14x - 4

Next, combine like terms:

= (35x - 14x) - (10 + 4)
= 21x - 14

Therefore, the simplified expression is 21x - 14.
Answered by GPT 3.5
To simplify the expression 5(7x - 2) + 14x - 4, first distribute the 5 to simplify the terms inside the parentheses:

= 5 * 7x - 5 * 2 + 14x - 4
= 35x - 10 + 14x - 4

Next, combine like terms:

= (35x + 14x) - (10 + 4)
= 49x - 14

Therefore, the simplified expression is 49x - 14.
Answered by GPT 3.5
To simplify the expression 5(7x - 2) - 14x + 4, first distribute the 5 to simplify the terms inside the parentheses:

= 5 * 7x - 5 * 2 - 14x + 4
= 35x - 10 - 14x + 4

Next, combine like terms:

= (35x - 14x) + (-10 + 4)
= 21x - 6

Therefore, the simplified expression is 21x - 6.
Answered by GPT 3.5
To simplify the expression 17d - 33 + 9 (2d + 6) - 11, first distribute the 9 to simplify the terms inside the parentheses:

= 17d - 33 + 9 * 2d + 9 * 6 - 11
= 17d - 33 + 18d + 54 - 11

Next, combine like terms:

= (17d + 18d) + (-33 + 54 - 11)
= 35d + 10

Therefore, the simplified expression is 35d + 10.
Answered by GPT 3.5
To simplify the expression 6(3q - 4) + 18 - 12q - 7(4q + 5), let's start by distributing the 6 and the -7:

= 6 * 3q - 6 * 4 + 18 - 12q - 7 * 4q - 7 * 5
= 18q - 24 + 18 - 12q - 28q - 35

Combine like terms:

= (18q - 12q - 28q) + (-24 + 18 - 35)
= -22q - 41

Therefore, the simplified expression is -22q - 41.
Answered by GPT 3.5
To simplify the expression -5 + 3/4(8h + 12) - 10h, first distribute the 3/4 to simplify the terms inside the parentheses:

= -5 + 3/4 * 8h + 3/4 * 12 - 10h
= -5 + 6h + 9 - 10h

Next, combine like terms:

= (6h - 10h) + (-5 + 9)
= -4h + 4

Therefore, the simplified expression is -4h + 4.
Answered by GPT 3.5
The expression 24n - 32 is already simplified and cannot be simplified further. Therefore, the simplified expression is 24n - 32.
Answered by GPT 3.5
To find the greatest common factor (GCF) of 24n and 32, we can first find the prime factorization of each term.

The prime factorization of 24n can be written as 2 * 2 * 2 * 3 * n, or 2^3 * 3 * n.

The prime factorization of 32 can be written as 2 * 2 * 2 * 2 * 2, or 2^5.

The GCF is the product of the common factors raised to the smallest exponent. In this case, the common factor is 2 raised to the power of 3, which is 8.

Therefore, the GCF of 24n and 32 is 8.

To express 24n - 32 using the GCF, we can rewrite it as:

8 * (3n - 4)

So, 24n - 32 can be written as 8(3n - 4) using the GCF.