Beginning Algebra With Applications, Chapter 2, 2.3, Section 2.3, Problem 92

Translate the phrase "twice the quotient of four times a number and eight" into a variable expression. Then simplify the expression.

$
\begin{equation}
\begin{aligned}
& \text{The unknown number: } n && \text{Assign a variable to one of the number quantities}\\
\\
& \text{Four times the number: } 4n && \text{Use the assigned variable to write an expression for any other unknown quantity.}\\
\\
& \text{The quotient of four times the number of eight: } \frac{4n}{8} && \text{Again, by using the assigned variable to write an expression for any other unknown quantity.}\\
\\
&= 2 \left( \frac{4n}{8} \right) && \text{Use the assigned variable to write the variable expression.}\\
\\
&= \left( 2 \cdot \frac{4}{8} \right)n && \text{Use the Associative Property of Multiplication to rearrange factors}\\
\\
&= (1)n && \text{Multiply}\\
\\
&= n && \text{Use the Multiplication Property of One}
\end{aligned}
\end{equation}
$