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Determine whether the equation has one solution, no solution, or infinitely many solutions.

 Feb 24, 2022
 #1
avatar+2455 
-2

Simplify:

 

 \(3n-2 = 2n-6\)

 

Subtract \(2n\)

 

\(n-2=-6\)

 

Add 2:

 

\(n = -4\)

 

 

The equation has only \(\color{brown}\boxed{1}\) solution

 Feb 24, 2022
 #2
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+1

 

Builder, you miscopied the original equation. 

 

The OP wrote    3n + 2 = 2(n – 3)  

You wrote it as   3n – 2 = 2(n – 3)  

 

Solving      3n + 2 = 2(n – 3)  

                  3n + 2 = 2n – 6  

                    n + 2 = –6  

                          n = –8       one solution  

.

Guest Feb 24, 2022

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