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 -3: First, distribute the -3 across the terms inside the first set of parentheses. -3 * 2 = -6 -3 * 4k = -12k So the expression becomes: -6 - 12k + 7(2k - 1)Distribute 7: Next, distribute the 7 across the terms inside the second set of parentheses. 7 * 2k = 14k 7 * -1 = -7 So the expression now becomes: -6 - 12k + 14k - 7Combine like terms: Combine like terms by adding/subtracting the constants and the coefficients of k. -6 - 7 = -13 (combining the constants) -12k + 14k = 2k (combining the coefficients of k) So the expression simplifies to: 2k - 13Check answer choices: Check the answer choices to see which one matches the simplified expression. The correct answer is (A) 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 2

Sum of finite series starts from 1

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 $-3$ : First, distribute the $-3$ across the terms inside the first set of parentheses. $\newline$ $-3 \times 2 = -6$ $\newline$ $-3 \times 4k = -12k$ $\newline$ So the expression becomes: $-6 - 12k + 7(2k - 1)$
Distribute $7$ : Next, distribute the $7$ across the terms inside the second set of parentheses. $7 \times 2k = 14k$ $7 \times -1 = -7$ So the expression now becomes: $-6 - 12k + 14k - 7$
Combine like terms: Combine like terms by adding/subtracting the constants and the coefficients of $k$ . $-6 - 7 = -13$ (combining the constants) $-12k + 14k = 2k$ (combining the coefficients of $k$ )So the expression simplifies to: $2k - 13$
Check answer choices: Check the answer choices to see which one matches the simplified expression. $\newline$ The correct answer is (A) $2k - 13$ .