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Combine the like terms to create an equivalent expression: -4q+10-(-8q)=

Combine the like terms to create an equivalent expression:\newline−4q+10−(−8q)=-4q+10-(-8q)=

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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−4q+10−(−8q)=-4q+10-(-8q)=
  1. Identify and group like terms: Identify and group like terms in the expression −4q+10−(−8q)-4q + 10 - (-8q).\newlineThe like terms here are −4q-4q and −(−8q)-(-8q), which are both coefficients of qq.
  2. Combine like terms: Combine the like terms by adding −4q-4q and −(−8q)-(-8q) together.\newline−4q−(−8q)=−4q+8q-4q - (-8q) = -4q + 8q because subtracting a negative is the same as adding a positive.
  3. Perform addition of coefficients: Perform the addition of the coefficients of qq. −4q+8q=4q-4q + 8q = 4q
  4. Rewrite expression with combined terms: Now, rewrite the expression with the combined like terms.\newlineThe expression becomes 4q+104q + 10, as the 1010 is not a like term with qq and remains unchanged.

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