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Combine the like terms to create an equivalent expression: -12-6p-(-2)=

Combine the like terms to create an equivalent expression:\newline−12−6p−(−2)=-12 - 6p - (-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−12−6p−(−2)=-12 - 6p - (-2) =
  1. Identify and group like terms: Identify and group like terms in the expression −12−6p−(−2)-12-6p-(-2).\newlineThe like terms here are the constants −12-12 and −2-2. There is only one term with the variable pp, which is −6p-6p.\newlineGrouping the constants: (−12−(−2))−6p(-12 - (-2)) - 6p
  2. Simplify the constants: Simplify the constants in the grouped expression (−12−(−2))−6p(-12 - (-2)) - 6p.\newlineSubtracting a negative is the same as adding the positive value of that number, so −12−(−2)-12 - (-2) becomes −12+2-12 + 2.\newlineCalculation: −12+2=−10-12 + 2 = -10\newlineNow the expression is −10−6p-10 - 6p.
  3. Check for remaining like terms: Check for any remaining like terms and simplify if necessary.\newlineThere are no more like terms to combine, so the expression is already simplified.\newlineFinal expression: −10−6p-10 - 6p

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