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Simplify to create an equivalent expression.

2(-n-3)-7(5+2n)
Choose 1 answer:
(A) 
-16 n-37
(B) 
-16 n-41
(C) 
16 n-41
(D) 
16 n+41

Simplify to create an equivalent expression.\newline2(n3)7(5+2n)2(-n-3)-7(5+2n)\newlineChoose 11 answer:\newline(A) 16n37-16n-37\newline(B) 16n41-16n-41\newline(C) 16n4116n-41\newline(D) 16n+4116n+41

Full solution

Q. Simplify to create an equivalent expression.\newline2(n3)7(5+2n)2(-n-3)-7(5+2n)\newlineChoose 11 answer:\newline(A) 16n37-16n-37\newline(B) 16n41-16n-41\newline(C) 16n4116n-41\newline(D) 16n+4116n+41
  1. Distribute the 22: Distribute the 22 into the first parentheses and 7-7 into the second parentheses.\newline2(n3)7(5+2n)2(-n - 3) - 7(5 + 2n)\newline=2(n)+2(3)7572n= 2 \cdot (-n) + 2 \cdot (-3) - 7 \cdot 5 - 7 \cdot 2n\newline=2n63514n= -2n - 6 - 35 - 14n
  2. Combine like terms: Combine like terms.\newline2n63514n-2n - 6 - 35 - 14n\newline=2n14n635= -2n - 14n - 6 - 35\newline=16n41= -16n - 41

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