Q. Combine the like terms to create an equivalent expression:4z−(−3z)=
Identify like terms: Identify like terms and the operation to be performed.In the expression 4z−(−3z), the like terms are 4z and −3z. We need to subtract −3z from 4z, which is the same as adding 3z to 4z because subtracting a negative is the same as adding a positive.
Perform the operation: Perform the operation to combine the like terms. 4z−(−3z)=4z+3zNow, we simply add the coefficients (4 and 3) together while keeping the variable z the same.
Add the coefficients: Add the coefficients.4z+3z=(4+3)z=7zWe have combined the like terms correctly and arrived at the simplified expression.
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