Consider the equation

If we add 4 to both sides of the equation, then we obtain:


We notice that the statement

remains a true statement when 4 is added to both sides of the equation.
This suggests that equations behave like balances. If the same mass
is added to each scale of a balance, it still remains balanced. This
implies that we can add the same number to both sides of an equation to get
a new equation.




From the preceding discussion, we can state that:
The same number can be added to both sides of an equation.
Example 4

Solution:
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