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Combine the like terms to create an equivalent expression: -k-(-8k)=◻

Combine the like terms to create an equivalent expression:\newline−k−(−8k)=□-k-(-8k)=\square

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Full solution

Q. Combine the like terms to create an equivalent expression:\newline−k−(−8k)=□-k-(-8k)=\square
  1. Combine like terms: We are given the expression −k−(−8k)-k - (-8k) and we need to combine like terms. The like terms here are −k-k and −8k-8k. To combine them, we need to subtract −8k-8k from −k-k, keeping in mind that subtracting a negative is the same as adding its positive equivalent.\newlineCalculation: −k−(−8k)=−k+8k-k - (-8k) = -k + 8k
  2. Add coefficients: Now we add the coefficients of k together. The coefficients are −1-1 for -k and 88 for 88k.\newlineCalculation: −1-1 + 88 = 77
  3. Multiply by variable: After adding the coefficients, we multiply the result by the variable kk to get the final expression.\newlineCalculation: 7×k=7k7 \times k = 7k

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