Rewrite in simplest terms: -2(-10 k-1)+10(-3k+4) Answer:

Distribute -2: Distribute the -2 across the terms inside the first parentheses. -2 * -10k gives us 20k, and -2 * -1 gives us 2. So, -2(-10k - 1) becomes 20k + 2.Distribute 10: Distribute the 10 across the terms inside the second parentheses. 10 * -3k gives us -30k, and 10 * 4 gives us 40. So, 10(-3k + 4) becomes -30k + 40.Combine like terms: Combine like terms from the results of Step 1 and Step 2. We have 20k from the first distribution and -30k from the second distribution, which gives us -10k when combined. We also have 2 from the first distribution and 40 from the second distribution, which gives us 42 when combined. So, 20k + 2 + (-30k) + 40 becomes -10k + 42.Write final expression: Write the final simplified expression. The expression -10k + 42 is already in its simplest form.

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Rewrite in simplest terms:
-2(-10 k-1)+10(-3k+4)
Answer:

Rewrite in simplest terms: $-2(-10 k-1)+10(-3 k+4)$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Rewrite in simplest terms:

-2(-10 k-1)+10(-3 k+4)

\newline

Answer:

Distribute $-2$ : Distribute the $-2$ across the terms inside the first parentheses. $-2 \times -10k$ gives us $20k$ , and $-2 \times -1$ gives us $2$ . So, $-2(-10k - 1)$ becomes $20k + 2$ .
Distribute $10$ : Distribute the $10$ across the terms inside the second parentheses. $\newline$ $10 \times -3k$ gives us $-30k$ , and $10 \times 4$ gives us $40$ . $\newline$ So, $10(-3k + 4)$ becomes $-30k + 40$ .
Combine like terms: Combine like terms from the results of Step $1$ and Step $2$ . $\newline$ We have $20k$ from the first distribution and $-30k$ from the second distribution, which gives us $-10k$ when combined. $\newline$ We also have $2$ from the first distribution and $40$ from the second distribution, which gives us $42$ when combined. $\newline$ So, $20k + 2 + (-30k) + 40$ becomes $-10k + 42$ .
Write final expression: Write the final simplified expression. $\newline$ The expression $-10k + 42$ is already in its simplest form.