Simplify to create an equivalent expression. -3(2+4k)+7(2k-1) Choose 1 answer: (A) 2k-13 (B) 8k-13 (c) 2k+13 (D) 2k-7

Distribute terms in parentheses: Distribute -3 to each term inside the first parentheses and 7 to each term inside the second parentheses. -3(2+4k) becomes -6 - 12k. 7(2k-1) becomes 14k - 7.Combine like terms: Combine like terms from the distributed expressions. -6 - 12k + 14k - 7Simplify the expression: Combine the constant terms (-6 and -7) and the k terms (-12k and 14k). -6 - 7 = -13 -12k + 14k = 2k So, the expression simplifies to 2k - 13.

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Simplify to create an equivalent expression.

-3(2+4k)+7(2k-1)
Choose 1 answer:
(A)
2k-13
(B)
8k-13
(c)
2k+13
(D)
2k-7

Simplify to create an equivalent expression. $\newline$ $-3(2+4k)+7(2k-1)$ $\newline$ Choose $1$ answer: $\newline$ (A) $2k-13$ $\newline$ (B) $8k-13$ $\newline$ (C) $2k+13$ $\newline$ (D) $2k-7$

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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

-3(2+4k)+7(2k-1)

\newline

Choose

1

answer:

\newline

(A)

2k-13

\newline

(B)

8k-13

\newline

(C)

2k+13

\newline

(D)

2k-7

Distribute terms in parentheses: Distribute $-3$ to each term inside the first parentheses and $7$ to each term inside the second parentheses. $\newline$ $-3(2+4k)$ becomes $-6 - 12k$ . $\newline$ $7(2k-1)$ becomes $14k - 7$ .
Combine like terms: Combine like terms from the distributed expressions. $-6 - 12k + 14k - 7$
Simplify the expression: Combine the constant terms $(-6$ and $-7$ ) and the $k$ terms $(-12k$ and $14k$ ). $\newline$ $-6 - 7 = -13$ $\newline$ $-12k + 14k = 2k$ $\newline$ So, the expression simplifies to $2k - 13$ .