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Apply the distributive property to factor out the greatest common factor.

24 a-18 b=

Apply the distributive property to factor out the greatest common factor. $\newline$ $24 a-18 b=$

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Solve logarithmic equations with multiple logarithms

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Q. Apply the distributive property to factor out the greatest common factor.

\newline

24 a-18 b=

Identify GCF: Identify the greatest common factor (GCF) of the numerical coefficients $24$ and $18$ . The factors of $24$ are $1$ , $2$ , $3$ , $4$ , $6$ , $8$ , $12$ , $24$ . The factors of $18$ are $1$ , $2$ , $3$ , $6$ , $18$ $6$ , $18$ . The greatest common factor of $24$ and $18$ is $6$ .
Find Factors: Factor out the GCF from each term in the expression $24a - 18b$ . $\newline$ Using the distributive property, factor out $6$ : $\newline$ $6(4a) - 6(3b) = 6(4a - 3b)$ .
Factor Out GCF: Check the factored expression to ensure that it is equivalent to the original expression. $\newline$ $6(4a) - 6(3b) = 24a - 18b$ . $\newline$ The factored expression is equivalent to the original expression.

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