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How many solutions does this equation have?\newline3n−8n=−5n3n - 8n = -5n\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

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Q. How many solutions does this equation have?\newline3n−8n=−5n3n - 8n = -5n\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Combine like terms: Simplify 3n−8n3n − 8n by combining like terms.\newline3n−8n3n − 8n\newline= (3−8)n(3−8)n\newline= −5n−5n
  2. Identify number of solutions: Now we have the equation −5n=−5n-5n = -5n. How many solutions does this equation have? −5n=−5n-5n = -5n is true for every value of nn. The equation 3n−8n=−5n3n - 8n = -5n has an infinite number of solutions.

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