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.

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