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Distribute to create an equivalent expression with the fewest symbols possible. $\frac{1}{2}(10x+20y+10z)$

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Roots of integers

Full solution

Q. Distribute to create an equivalent expression with the fewest symbols possible.

\frac{1}{2}(10x+20y+10z)

Distribute to $10x$ : Distribute $\frac{1}{2}$ to the first term, $10x$ . $\newline$ $\frac{1}{2} \times 10x = 5x$
Distribute to $20y$ : Distribute $\frac{1}{2}$ to the second term, $20y$ . $\newline$ $\frac{1}{2} \times 20y = 10y$
Distribute to $10z$ : Distribute $\frac{1}{2}$ to the third term, $10z$ . $\newline$ $\frac{1}{2} \times 10z = 5z$
Combine and simplify: Combine the results from steps $1$ , $2$ , and $3$ to write the simplified expression. $\newline$ The simplified expression is $5x + 10y + 5z$ .

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