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Rearranging formulas

There are only letters. The wizard asks you to free one of them.

What it looks like

u + t = v

Free u.

Every letter is a hidden number. The rule is the same. Do the same to both sides until your letter is on its own.

In the game you pick a letter to cast with, not a number.

Worked example 1

  1. u + t = v

  2. Subtract t from both sides

  3. u = v − t

The answer is not a number. It is letters. That is what a finished formula looks like.

You have not gone wrong.

Worked example 2

Free l.

  1. 2l + 2w = P

  2. Subtract 2w from both sides

  3. 2l = P − 2w

  4. Divide both sides by 2

  5. l = (P − 2w) ÷ 2

The brackets show that the whole side is divided by 2.

The most common mistake

Dividing only part of a side.

Not this

2l = P − 2w, divide by 2

l = P − 2w ÷ 2

Only the 2w was divided.

This

2l = P − 2w, divide by 2

l = (P − 2w) ÷ 2

Everything was divided.

In the game

You meet these puzzles in the Sky Observatory.

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