Q. Combine the like terms to create an equivalent expression:3z+2+(−5z)+6
Identify like terms: Identify like terms in the expression 3z+2+(−5z)+6.Like terms are terms that contain the same variable raised to the same power. Here, 3z and (−5z) are like terms because they both contain the variable z raised to the first power. The numbers 2 and 6 are like terms because they are both constants without variables.
Combine like terms: Combine the like terms 3z and (−5z).To combine these terms, add their coefficients: 3+(−5)=−2. This gives us −2z.
Combine constant terms: Combine the constant terms 2 and 6.To combine these terms, simply add them together: 2+6=8.
Write simplified expression: Write the simplified expression by combining the results from steps 2 and 3.The simplified expression is −2z+8.
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