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Simplify to create an equivalent expression.

-4(-11+4n)-3(-2n+9)
Choose 1 answer:
(A)
-10 n-35
(B)
-18 n+17
(C)
-10 n-17
(D)
-10 n+17

Simplify to create an equivalent expression. $\newline$ $-4(-11+4 n)-3(-2 n+9)$ $\newline$ Choose $1$ answer: $\newline$ (A) $-10 n-35$ $\newline$ (B) $-18 n+17$ $\newline$ (C) $-10 n-17$ $\newline$ (D) $-10 n+17$

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Domain and range of relations

Full solution

Q. Simplify to create an equivalent expression.

\newline

-4(-11+4 n)-3(-2 n+9)

\newline

Choose

1

answer:

\newline

(A)

-10 n-35

\newline

(B)

-18 n+17

\newline

(C)

-10 n-17

\newline

(D)

-10 n+17

Distribute $-4$ across terms: Distribute the $-4$ across the terms inside the first parentheses. $\newline$ Calculation: $-4 \times -11 + -4 \times 4n = 44 - 16n$
Distribute $-3$ across terms: Distribute the $-3$ across the terms inside the second parentheses. $\newline$ Calculation: $-3 \times -2n + -3 \times 9 = 6n - 27$
Combine results from Step $1$ and Step $2$ : Combine the results from Step $1$ and Step $2$ . $\newline$ Calculation: $(44 - 16n) + (6n - 27)$
Combine like terms: Combine like terms by adding the constants and the coefficients of $n$ . $\newline$ Calculation: $44 - 27 - 16n + 6n = 17 - 10n$

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\newline

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\newline

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\newline

\newline

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\newline

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