Mistakes gave rise to yet another problem!

Algebra Level 4

In mathematics, If you do the following: \(x(y+z)=xy+z\), Then it's a big mistake.

How many ordered pairs integers \(x_i ,y_i,z_i\) such that \(-10\leq x,y,z \leq 10\) make the equation above true?

\(x_i,y_i,z_i\) are Integers

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