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Apply the distributive property to factor out the greatest common factor of all three terms.

14 x+21 y+7z=

Apply the distributive property to factor out the greatest common factor of all three terms. $\newline$ $14 x+21 y+7 z=$

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Solve logarithmic equations with multiple logarithms

Full solution

Q. Apply the distributive property to factor out the greatest common factor of all three terms.

\newline

14 x+21 y+7 z=

Identify GCF of coefficients: Identify the greatest common factor (GCF) of the numerical coefficients. $\newline$ The numerical coefficients are $14$ , $21$ , and $7$ . $\newline$ We need to find the largest number that divides all three without a remainder. $\newline$ The GCF of $14$ , $21$ , and $7$ is $7$ .
Apply distributive property: Apply the distributive property to factor out the GCF. $\newline$ We will factor out the GCF from each term. $\newline$ The expression becomes $7(2x + 3y + z)$ .
Check factored expression: Check the factored expression by distributing the GCF. $\newline$ Multiply $7$ by each term inside the parentheses to ensure it gives the original expression. $\newline$ $7(2x) + 7(3y) + 7(z) = 14x + 21y + 7z$ .

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