Question

solve the equation 6(n - 4) = 36. how can you isolate the variable n? 6(n - 4) = 36; (6(n - 4))/6 = 36/6 (divide by 6 on both sides.) n - 4 = 6;? on both sides.

Explanation:

Step1: Analyze the equation after division

We have \( n - 4=6 \). To isolate \( n \), we need to get rid of the \(- 4\) on the left - hand side.

Step2: Determine the operation

According to the addition property of equality, if we add 4 to both sides of the equation \( n - 4 = 6 \), we can isolate \( n \). So we perform the operation: Add 4 on both sides.
After adding 4 to both sides: \( n-4 + 4=6 + 4 \), which simplifies to \( n = 10 \).

Answer:

To isolate \( n \) from \( n - 4=6 \), we add 4 on both sides. The completed step is: Add 4 on both sides. And the solution of the equation \( 6(n - 4)=36 \) is \( n = 10 \).