Rewrite in simplest terms:−9(8n+4p)−7p−2(−10p−9n)

Answer 1

To rewrite the expression in simplest terms, we can distribute the numbers and simplify the terms.

Starting with the first part of the expression: -9(8n+4p)
Distributing the -9 to both terms inside the parentheses:
-9 * 8n = -72n
-9 * 4p = -36p

Moving on to the second part: -2(-10p-9n)
Distributing the -2 to both terms inside the parentheses:
-2 * -10p = 20p
-2 * -9n = 18n

Finally, combining all the terms:
-72n - 36p - 7p + 20p + 18n

Simplifying the terms further:
-72n + 18n - 36p - 7p + 20p

Combining like terms:
(-72n + 18n) + (-36p - 7p + 20p)

Simplifying further:
-54n + (-36p - 7p + 20p)

Finally, combining like terms:
-54n - 23p + 20p

This is the simplified expression: -54n - 3p.