- Analyze the linear equation \(n + 30 = 64\).
- Subtract \(30\) from both sides to isolate the variable \(n\).
- Calculate the resulting value: \(n = 64 - 30\).
- Final value: \(n = \boxed{34}\).
Explanation
- Problem Analysis
The given equation is \(n + 30 = 64\). We are asked to find the value of the variable \(n\) that satisfies this equation. This is a basic linear equation where we need to isolate the variable \(n\) on one side to determine its numerical value.
- Solving the Equation
To solve for \(n\), we need to eliminate the constant \(30\) on the left side of the equation. We can do this by subtracting \(30\) from both sides of the equation:
\[n + 30 - 30 = 64 - 30\]
Simplifying both sides gives:
\[n = 34\]
Thus, the value of \(n\) is \(34\).
Examples
Imagine you have a scale that is currently unbalanced. On the left side, you have a box of unknown weight \(n\) and a weight of \(30\) grams. On the right side, you have weights totaling \(64\) grams. To balance the scale, the total weight on both sides must be equal, represented by the equation \(n + 30 = 64\). By removing the \(30\)-gram weight from both sides, you find that the unknown box \(n\) must weigh exactly \(34\) grams to maintain the balance.