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how can you isolate the variable n? 6(n - 4) = 36 \\frac{6(n - 4)}{6} =…

Question

how can you isolate the variable n?
6(n - 4) = 36
\frac{6(n - 4)}{6} = \frac{36}{6} \qquad \text{divide by 6 on both sides.}
n - 4 = 6 \qquad \text{? on both sides.}

Explanation:

Step1: Identify the operation to isolate n

After getting \( n - 4 = 6 \), to isolate \( n \), we need to undo the subtraction of 4. The inverse operation of subtraction is addition. So we add 4 to both sides.

Step2: Perform the operation

Add 4 to both sides of the equation \( n - 4 = 6 \):
\( n - 4 + 4 = 6 + 4 \)
Simplifying both sides gives \( n = 10 \). But the question is about the step to isolate \( n \) from \( n - 4 = 6 \), so the operation is to add 4 on both sides.

Answer:

Add 4