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-k+2(-2k-5) Which of the following is equivalent to the given expression? Choose 1 answer: (A) -3k+10 (B) -5k-10 (c) -5k+10 (D) -3k-10

−k+2(−2k−5) -k+2(-2 k-5) \newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) −3k+10 -3 k+10 \newline(B) −5k−10 -5 k-10 \newline(C) −5k+10 -5 k+10 \newline(D) −3k−10 -3 k-10

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Full solution

Q. −k+2(−2k−5) -k+2(-2 k-5) \newlineWhich of the following is equivalent to the given expression?\newlineChoose 11 answer:\newline(A) −3k+10 -3 k+10 \newline(B) −5k−10 -5 k-10 \newline(C) −5k+10 -5 k+10 \newline(D) −3k−10 -3 k-10
  1. Distribute 22 across terms: We need to distribute the 22 across the terms inside the parentheses.\newlineCalculation: 2×−2k=−4k2 \times -2k = -4k and 2×−5=−102 \times -5 = -10.\newlineSo, the expression becomes −k+(−4k)+(−10)-k + (-4k) + (-10).
  2. Combine like terms: Now, we combine like terms, which are the terms with the variable kk.\newlineCalculation: −k+(−4k)=−k−4k=−5k-k + (-4k) = -k - 4k = -5k.\newlineSo, the expression simplifies to −5k−10-5k - 10.

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