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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)=

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Simplify variable expressions involving like terms and the distributive propertyright chevron icon

Full solution

Q. Combine the like terms to create an equivalent expression:\newline−k−(−8k)=-k-(-8k)=
  1. Identify like terms: Identify like terms in the expression −k−(−8k)-k-(-8k).\newlineThe like terms in the expression are −k-k and −8k-8k. These terms can be combined because they both contain the variable kk.
  2. Apply distributive property: Apply the distributive property to remove the parentheses. −k−(−8k)-k-(-8k) becomes −k+8k-k + 8k because the minus sign in front of the parentheses changes the sign of −8k-8k to positive when the parentheses are removed.
  3. Combine like terms: Combine the like terms.\newlineNow, we add −k-k and 8k8k together.\newline−1k+8k=7k-1k + 8k = 7k

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