To solve the equation \(12 = 4 - n\), we need to isolate the variable \(n\). We can do this by performing algebraic operations to both sides of the equation to solve for \(n\).
Solution Approach
Subtract 4 from both sides of the equation to isolate the term with \(n\).
Multiply both sides by -1 to solve for \(n\).
Step 1: Subtract 4 from both sides
Starting with the equation:
\[ 12 = 4 - n \]
Subtract 4 from both sides:
\[ 12 - 4 = 4 - n - 4 \]
This simplifies to:
\[ 8 = -n \]
Step 2: Multiply both sides by -1
To isolate \( n \), multiply both sides by -1:
\[ -1 \cdot 8 = -1 \cdot (-n) \]