Rewrite in simplest terms: -7(4h-4k)-k-6(10 k+6h) Answer:

Distribute -7: Distribute -7 into the first set of parentheses: -7 * 4h gives -28h, and -7 * -4k gives +28k. Calculation: -7(4h-4k) = -28h + 28kDistribute -6: Distribute -6 into the second set of parentheses: -6 * 10k gives -60k, and -6 * 6h gives -36h. Calculation: -6(10k+6h) = -60k - 36hCombine like terms: Combine like terms: -28h with -36h gives -64h, and 28k with -60k gives -32k. Then, subtract k from -32k to get -33k. Calculation: -28h - 36h = -64h and 28k - 60k - k = -32k - k = -33kWrite final expression: Write the final simplified expression by combining the terms from the previous step. Calculation: -64h - 33k

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Rewrite in simplest terms:
-7(4h-4k)-k-6(10 k+6h)
Answer:

Rewrite in simplest terms: $-7(4 h-4 k)-k-6(10 k+6 h)$ $\newline$ Answer:

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Algebra 2

Evaluate rational expressions II

Full solution

Q. Rewrite in simplest terms:

-7(4 h-4 k)-k-6(10 k+6 h)

\newline

Answer:

Distribute $-7$ : Distribute $-7$ into the first set of parentheses: $-7 \times 4h$ gives $-28h$ , and $-7 \times -4k$ gives $+28k$ . $\newline$ Calculation: $-7(4h-4k) = -28h + 28k$
Distribute $-6$ : Distribute $-6$ into the second set of parentheses: $-6 \times 10k$ gives $-60k$ , and $-6 \times 6h$ gives $-36h$ . $\newline$ Calculation: $-6(10k+6h) = -60k - 36h$
Combine like terms: Combine like terms: $-28h$ with $-36h$ gives $-64h$ , and $28k$ with $-60k$ gives $-32k$ . Then, subtract $k$ from $-32k$ to get $-33k$ . $\newline$ Calculation: $-28h - 36h = -64h$ and $-36h$ $0$
Write final expression: Write the final simplified expression by combining the terms from the previous step. $\newline$ Calculation: $-64h - 33k$