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

(1)/(2)(10 x+20 y+10 z)=

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

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Solve logarithmic equations with multiple logarithms

Full solution

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

\newline

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

Distribute the fraction: We need to distribute the fraction $(\frac{1}{2})$ across each term inside the parentheses $(10x + 20y + 10z)$ . $\newline$ Calculation: $(\frac{1}{2})(10x) + (\frac{1}{2})(20y) + (\frac{1}{2})(10z)$
Simplify each term: Simplify each term by multiplying the fraction $(\frac{1}{2})$ with the coefficients of $x$ , $y$ , and $z$ . $\newline$ Calculation: $(\frac{1}{2})\cdot 10x = 5x$ , $(\frac{1}{2})\cdot 20y = 10y$ , $(\frac{1}{2})\cdot 10z = 5z$
Combine the simplified terms: Combine the simplified terms to get the final expression. $\newline$ Calculation: $5x + 10y + 5z$

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