3n+2(-2n-1) Which of the following is equivalent to the given expression? Choose 1 answer: (A) -n+2 (B) n+2 (c) -n-2 (D) n-2

Distribute the 2: Distribute the 2 to both terms inside the parentheses. 3n + 2(-2n) + 2(-1)Multiply by -2n and -1: Multiply 2 by -2n and -1. 3n + (-4n) + (-2)Combine like terms: Combine like terms (3n and -4n). (3n - 4n) + (-2)Simplify the expression: Simplify the expression by combining the n terms. -1n - 2Final simplified expression: The simplified expression is -n - 2, which corresponds to one of the given choices.

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3n+2(-2n-1)
Which of the following is equivalent to the given expression?
Choose 1 answer:
(A)
-n+2
(B)
n+2
(c)
-n-2
(D)
n-2

$3 n+2(-2 n-1)$ $\newline$ Which of the following is equivalent to the given expression? $\newline$ Choose $1$ answer: $\newline$ (A) $-n+2$ $\newline$ (B) $n+2$ $\newline$ (C) $-n-2$ $\newline$ (D) $n-2$

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Math Problems

Grade 7

Identify equivalent linear expressions I

Full solution

3 n+2(-2 n-1)

\newline

Which of the following is equivalent to the given expression?

\newline

Choose

1

answer:

\newline

(A)

-n+2

\newline

(B)

n+2

\newline

(C)

-n-2

\newline

(D)

n-2

Distribute the $2$ : Distribute the $2$ to both terms inside the parentheses. $3n + 2(-2n) + 2(-1)$
Multiply by $-2n$ and $-1$ : Multiply $2$ by $-2n$ and -1 \. $\newline$ $3n + (-4n) + (-2)$
Combine like terms: Combine like terms $(3n \text{ and } -4n)$ . $\newline$ $(3n - 4n) + (-2)$
Simplify the expression: Simplify the expression by combining the $n$ terms. $-1n - 2$
Final simplified expression: The simplified expression is $-n - 2$ , which corresponds to one of the given choices.