Question

Rewrite in simplest terms: minus, 9, left parenthesis, 8, n, plus, 4, p, right parenthesis, minus, 7, p, minus, 2, left parenthesis, minus, 10, p, minus, 9, n, right parenthesis−9(8n+4p)−7p−2(−10p−9n)

Answer 1

To simplify the expression
−
9
(
8
𝑛
+
4
𝑝
)
−
7
𝑝
−
2
(
−
10
𝑝
−
9
𝑛
)
−9(8n+4p)−7p−2(−10p−9n), follow these steps:

Distribute
−
9
−9 and
−
2
−2:

−
9
(
8
𝑛
)
−
9
(
4
𝑝
)
−
7
𝑝
+
2
(
10
𝑝
)
+
2
(
9
𝑛
)
−9(8n)−9(4p)−7p+2(10p)+2(9n)
This gives:

−
72
𝑛
−
36
𝑝
−
7
𝑝
+
20
𝑝
+
18
𝑛
−72n−36p−7p+20p+18n
Combine like terms:

For
𝑛
n:
−
72
𝑛
+
18
𝑛
=
−
54
𝑛
−72n+18n=−54n
For
𝑝
p:
−
36
𝑝
−
7
𝑝
+
20
𝑝
=
−
23
𝑝
−36p−7p+20p=−23p
So, the simplified expression is:

−
54
𝑛
−
23
𝑝
−54n−23p