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

Distribute the 2: Distribute the 2 across the terms inside the parentheses. We need to multiply each term inside the parentheses by 2. Calculation: 2 * (-2n) + 2 * (-1) = -4n - 2Combine with term outside: Combine the result from Step 1 with the term outside the parentheses. Now we add the distributed terms to the term 3n. Calculation: 3n + (-4n) - 2 = 3n - 4n - 2Combine like terms: Combine like terms, which are the terms with n. We add the coefficients of n together. Calculation: (3 - 4)n - 2 = -1n - 2 = -n - 2

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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. $\newline$ $3n+2(-2n-1)$ $\newline$ 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

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Simplify to create an equivalent expression.

\newline

3n+2(-2n-1)

\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 $2$ across the terms inside the parentheses. $\newline$ We need to multiply each term inside the parentheses by $2$ . $\newline$ Calculation: $2 \times (-2n) + 2 \times (-1)$ $\newline$ = $-4n - 2$
Combine with term outside: Combine the result from Step $1$ with the term outside the parentheses. $\newline$ Now we add the distributed terms to the term $3n$ . $\newline$ Calculation: $3n + (-4n) - 2$ $\newline$ = $3n - 4n - 2$
Combine like terms: Combine like terms, which are the terms with $n$ . $\newline$ We add the coefficients of $n$ together. $\newline$ Calculation: $(3 - 4)n - 2$ $\newline$ $= -1n - 2$ $\newline$ $= -n - 2$