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Simplify the expression: $\newline$ $4 + -5f - 8f + -9$

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Simplify variable expressions involving like terms and the distributive property

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Q. Simplify the expression:

\newline

4 + -5f - 8f + -9

Identify Like Terms: Identify like terms in the expression $4 + (-5f) - 8f + (-9)$ . $\newline$ Like terms are terms that contain the same variable raised to the same power. In this expression, $-5f$ and $-8f$ are like terms, while $4$ and $-9$ are like terms.
Combine Like Terms $-5f$ and $-8f$ : Combine the like terms $-5f$ and $-8f$ . $-5f - 8f = (-5 - 8)f = -13f$
Combine Like Terms $4$ and $-9$ : Combine the like terms $4$ and $-9$ . $4 + (-9) = 4 - 9$ $= -5$
Write Simplified Expression: Write the simplified expression by combining the results from Step $2$ and Step $3$ . $\newline$ The simplified expression is $-13f + -5$ .

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