Question

interactive practice: write and solve one-variable equations
how can you find the value of n?
divide the weights on both sides
into blank equal groups.
4n = 8

Explanation:

Step1: Analyze the equation

We have the equation \(4n = 8\). To solve for \(n\), we need to isolate \(n\). The coefficient of \(n\) is 4, so we can divide both sides of the equation by 4.

Step2: Divide both sides by 4

Dividing both sides of \(4n = 8\) by 4 gives \(\frac{4n}{4}=\frac{8}{4}\). Simplifying both sides, we get \(n = 2\). Looking at the balance scale, we have 4 \(n\)-weights on one side and 8 unit - weights on the other side. To find the value of \(n\), we divide the 8 unit - weights (the total weight on the right - hand side) into 4 equal groups (since there are 4 \(n\)-weights on the left - hand side). Each group will have \(\frac{8}{4}=2\) unit - weights, which is the value of \(n\). So we divide the weights (8) on both sides into 4 equal groups.

Answer:

We divide the weights (8) on both sides into 4 equal groups. The first blank is 8 and the second blank is 4.