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

Simplify to create an equivalent expression.\newline−k−(−8k+7)-k-(-8k+7)\newlineChoose 11 answer:\newline(A) 7k−77k-7\newline(B) −7k−7-7k-7\newline(C) 7k+77k+7\newline(D) −7k+7-7k+7

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Full solution

Q. Simplify to create an equivalent expression.\newline−k−(−8k+7)-k-(-8k+7)\newlineChoose 11 answer:\newline(A) 7k−77k-7\newline(B) −7k−7-7k-7\newline(C) 7k+77k+7\newline(D) −7k+7-7k+7
  1. Distribute Negative Sign: First, we need to distribute the negative sign across the expression inside the parentheses. This means we will change the sign of each term inside the parentheses. −k−(−8k+7)-k - (-8k + 7) becomes −k+8k−7-k + 8k - 7.
  2. Combine Like Terms: Next, we combine like terms. We have −k-k and +8k+8k which are like terms. Combining them gives us 7k7k.
  3. Bring Down Constant: Finally, we bring down the −7-7 from the previous step to complete the simplification.\newlineSo, the expression becomes 7k−77k - 7.

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