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Combine the like terms to create an equivalent expression:

3z+2+(-5z)+6

Combine the like terms to create an equivalent expression:\newline3z+2+(5z)+63z+2+(-5z)+6

Full solution

Q. Combine the like terms to create an equivalent expression:\newline3z+2+(5z)+63z+2+(-5z)+6
  1. Identify like terms: Identify like terms in the expression 3z+2+(5z)+63z + 2 + (-5z) + 6.\newlineLike terms are terms that contain the same variable raised to the same power. Here, 3z3z and (5z)(-5z) are like terms because they both contain the variable zz raised to the first power. The numbers 22 and 66 are like terms because they are both constants without variables.
  2. Combine like terms: Combine the like terms 3z3z and (5z)(-5z).\newlineTo combine these terms, add their coefficients: 3+(5)=23 + (-5) = -2. This gives us 2z-2z.
  3. Combine constant terms: Combine the constant terms 22 and 66.\newlineTo combine these terms, simply add them together: 2+6=82 + 6 = 8.
  4. Write simplified expression: Write the simplified expression by combining the results from steps 22 and 33.\newlineThe simplified expression is 2z+8-2z + 8.

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