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Simplify to create an equivalent expression.

3n+2(-2n-1)
Choose 1 answer:
(A) 
-n+2
(B) 
n+2
(C) 
-n-2
(D) 
n-2

Simplify to create an equivalent expression.\newline3n+2(2n1)3n+2(-2n-1)\newlineChoose 11 answer:\newline(A) n+2-n+2\newline(B) n+2n+2\newline(C) n2-n-2\newline(D) n2n-2

Full solution

Q. Simplify to create an equivalent expression.\newline3n+2(2n1)3n+2(-2n-1)\newlineChoose 11 answer:\newline(A) n+2-n+2\newline(B) n+2n+2\newline(C) n2-n-2\newline(D) n2n-2
  1. Distribute the 22: Distribute the 22 to the terms inside the parentheses.\newlineCalculation: 3n+2(2n)+2(1)3n + 2 \cdot (-2n) + 2 \cdot (-1)\newlineThis simplifies to: 3n4n23n - 4n - 2
  2. Combine like terms: Combine like terms, which are the terms with the variable nn.
    Calculation: (3n4n)2(3n - 4n) - 2
    This simplifies to: n2-n - 2
  3. Check for simplification: Check for any possible simplification or combining of terms.\newlineCalculation: There are no like terms left to combine, and the expression is simplified.

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