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.
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.
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.
-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.
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).
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.
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)
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.