Beginning Algebra With Applications, Chapter 2, 2.3, Section 2.3, Problem 100

Translate the phrase "a number plus the product of the number minus five and seven" 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{The number minus five: } n - 5 && \text{Use the assigned variable to write an expression for any other unknown quantity.}\\
\\
& \text{The prodcut of the number minus five and seven: } 7(n - 5) \\
\\
&= n + 7(n - 5) && \text{Use the assigned variable to write the variable expression.}\\
\\
&= n + 7 (n) - 7(5) && \text{Apply Distributive Property}\\
\\
&= 8n - 35 && \text{Combine like terms}
\end{aligned}
\end{equation}
$