- Recognize the equation as a basic linear relationship: \(988 = z + 6\).
- Isolate the variable \(z\) by subtracting \(6\) from both sides of the equation.
- Calculate the resulting value: \(z = 988 - 6 = 982\).
- Final result: \(\boxed{982}\).
Explanation
- Analysis of the Equation
The problem asks us to solve the linear equation \(988 = z + 6\) for the variable \(z\). The given equation relates the variable \(z\) to the constant \(988\) through the addition of \(6\). Our goal is to isolate \(z\) to find its value.
- Solving for z
To isolate \(z\), we perform algebraic manipulation by subtracting \(6\) from both sides of the equation:
\[988 - 6 = z + 6 - 6\]
\[982 = z\]
Thus, the value of \(z\) is \(982\).
Examples
Suppose you are counting the total number of pages in a book, and you know the total is \(988\). You have already counted \(6\) pages in the introductory section. To find the remaining number of pages (\(z\)), you subtract the pages already counted from the total: \(z = 988 - 6 = 982\). This type of simple subtraction is fundamental in managing inventories, calculating balances, or tracking progress in many daily activities.