# U can help me?solve the question with properties of equality

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properties of equality

5n + 16 = -4 -5n

properties of equality

5n + 16 = -4 -5n

##### 2 Answers

#### Explanation:

The properties of equality basically state that when an equality is given, the left hand side is always equal to the right hand side.

*Solving for 'n':*

*Put everything with 'n' on one side and every other number on the other side:*

*Simplifying:*

*Dividing both sides by 10 to isolate 'n':*

A lot of detail is given so that you can see where everything comes from. Once you get used to these the calculation becomes quite fast.

#### Explanation:

People generally show the shortcut approaches. These are basically remembering the consequences of using first principles.

First principles basis is:

The meaning of the equals sign is 'sacrosanct'. It is absolute and must always be complied with.

No mater what form the left and right side are their true values must be the same. In simple terms using an example:

So if you add or subtract from one side you do same to the other.

If you multiply EVERYTHING on one side you do the same to the EVERYTHING on the other side and so on.

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Given:

Add

Subtract

Divide both sides by

But