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Question 346786: I am a mom trying to remember the steps to this problem to help my son.
4 x (9+3)= (4 x n) + (4 x 3)
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! Do not use the letter x to represent multiplication in algebra because x is
used a lot as a variable and will produce confusion. In place of x, use * or
parentheses, which also represent multiplication.
We are looking for n.
This equation is called a linear equation.
4 x (9+3)= (4 x n) + (4 x 3)
4 * 12 = 4*n + 12
48 = 4n + 12
48 - 12 = 4n
36 = 4n
To find the value of n simply divide 36 by 4 and we are done.
36/4 = n
9 = n
The answer is 9.
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Here is the proof:
In the original equation given, let n = 9. If we get the same answer on both
sides of the equation, then we know for sure that n = 9 in this sample.
Let n = 9
4 x (9+3)= (4 x n) + (4 x 3)
4 x (9+3)= (4 x 9) + (4 x 3)
4 * 12 = 36 + 12
48 = 48....It checks!!
We now know for sure that n = 9.
By former substitute teacher.
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