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# Solve for 3n+2=2(n-3)

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

Feb 24, 2022

#1
+1384
-1

Simplify:

\(3n-2 = 2n-6\)

Subtract \(2n\)

\(n-2=-6\)

\(n = -4\)

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

Feb 24, 2022
#2
+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