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Q. Simplify the expression. Write your answers using integers or improper fractions.Answer:
- Distribute Terms: Distribute to the terms inside the parentheses .So, becomes .
- Combine Distributed Terms: Combine the distributed terms with the remaining part of the expression.The expression now is .
- Combine Like Terms: Combine like terms, which are the terms with . To combine and , we need a common denominator. The common denominator for and is . So we convert to . Now, combine and . is the same as . $(\(-36\)/\(6\))k + (\(8\)/\(6\))k = (\(-36\) + \(8\))/\(6\) k = (\(-28\)/\(6\))k = (\(-14\)/\(3\))k.
- Add Constant Term: Add the constant term to the simplified \(k\) term.\(\newline\)The expression now is \(-\frac{14}{3}k + 18\).
- Check Constant Term: Check if the constant term can be written with a denominator of \(3\) to combine with the \(k\) term, but since it is not a fraction, we leave it as is.\(\newline\)The final simplified expression is \((-\frac{14}{3})k + 18\).
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