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Combine the like terms to create an equivalent expression: -3k-(-8)+2

Combine the like terms to create an equivalent expression:\newline−3k−(−8)+2-3k-(-8)+2

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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−3k−(−8)+2-3k-(-8)+2
  1. Identify like terms and constants: Identify like terms and constants in the expression −3k−(−8)+2-3k - (-8) + 2.\newlineThe like terms are the terms with the variable kk, which in this case is only −3k-3k. The constants are −(−8)-(-8) and +2+2.
  2. Simplify the constants: Simplify the constants by adding them together.\newline−(−8)-(-8) becomes +8+8 because the double negative turns into a positive. Then add 88 to 22 to get 1010.\newlineCalculation: 8+2=108 + 2 = 10
  3. Combine constants with like term: Combine the simplified constants with the like term.\newlineSince there is only one like term, −3k-3k, we simply combine it with the result from Step 22, which is 1010.\newlineExpression: −3k+10-3k + 10

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