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Combine the like terms to create an equivalent expression:

4z-(-3z)=

Combine the like terms to create an equivalent expression:\newline4z(3z)=4z-(-3z)=

Full solution

Q. Combine the like terms to create an equivalent expression:\newline4z(3z)=4z-(-3z)=
  1. Identify like terms: Identify like terms and the operation to be performed.\newlineIn the expression 4z(3z)4z - (-3z), the like terms are 4z4z and 3z-3z. We need to subtract 3z-3z from 4z4z, which is the same as adding 3z3z to 4z4z because subtracting a negative is the same as adding a positive.
  2. Perform the operation: Perform the operation to combine the like terms. \newline4z(3z)=4z+3z4z - (-3z) = 4z + 3z\newlineNow, we simply add the coefficients (44 and 33) together while keeping the variable zz the same.
  3. Add the coefficients: Add the coefficients.\newline4z+3z=(4+3)z4z + 3z = (4 + 3)z\newline=7z= 7z\newlineWe have combined the like terms correctly and arrived at the simplified expression.

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