To solve the linear equation \(2.5n + 5.2 = 35.2\), the first step is to isolate the variable \(n\).
Here are the detailed steps we will follow:
1. Identify the terms:
- The term \(2.5n\) is the variable term.
- The term \(5.2\) is the constant term on the left side of the equation.
- The term \(35.2\) is the constant term on the right side of the equation.
2. Move the constant term to the other side of the equation:
- To isolate \(n\), we need to remove the constant term \(5.2\) from the left side. We do this by using the subtraction property of equality, which states that if the same number is subtracted from both sides of an equation, the equality is still true.
3. Apply the subtraction property of equality:
- Subtract \(5.2\) from both sides of the equation:
[tex]\[
2.5n + 5.2 - 5.2 = 35.2 - 5.2
\][/tex]
This simplifies to:
[tex]\[
2.5n = 30
\][/tex]
Therefore, the property used in the first step is the subtraction property of equality.
