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Solve 12 = 4n

Step by step, with the reason for every step · Linear equations · Algebra 1

Step by step

The question

Question: solve 12 = 4n.

12 = 4n

Let's swap the two sides, so n is on the left.

4n = 12

1 Remove the 4

4n means 4 times n.

We want just n.

To remove times 4, we divide by 4.

We do it on both sides.

Why both sides?

The = sign means both sides are the same amount.

If we change only one side, they are not the same any more.

4n4 = 124

4 divided by 4 is 1.

So just n is left.

12 divided by 4 is 3.

124 = 3

So n = 3!

n = 3

2 Check

Let's check: put 3 in place of n.

First the left side.

Left: 12

Now the right side.

Right: 4(3) = 12

Both sides are 12.

So n = 3 is right!

Both sides equal 12

Let's look back.

First: remove the 4.

Last: check.

Answer
n = 3

Your turn

Try this one yourself, then check:

Solve 16 = 4n
Show the answer
n = 4

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