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Liz solved the equation 3(n2)=6+4nn3(n - 2) = -6 + 4n - n. Here are her last two steps:\newline3n6=6+3n3n - 6 = -6 + 3n\newline6=6-6 = -6\newlineWhich statement is true about the equation?\newline(A)The solution is n=6n = -6.\newline(B)There is no solution because 6=6-6 = -6 is a true equation.\newline(C)There are infinitely many solutions because 6=6-6 = -6 is a true equation.\newline(D)The solution is (6,6)(-6, 6).

Full solution

Q. Liz solved the equation 3(n2)=6+4nn3(n - 2) = -6 + 4n - n. Here are her last two steps:\newline3n6=6+3n3n - 6 = -6 + 3n\newline6=6-6 = -6\newlineWhich statement is true about the equation?\newline(A)The solution is n=6n = -6.\newline(B)There is no solution because 6=6-6 = -6 is a true equation.\newline(C)There are infinitely many solutions because 6=6-6 = -6 is a true equation.\newline(D)The solution is (6,6)(-6, 6).
  1. Simplify Equation: Simplify the equation by distributing and combining like terms.\newline3(n2)=6+4nn3(n - 2) = -6 + 4n - n\newline3n6=6+3n3n - 6 = -6 + 3n
  2. Cancellation of Terms: Since all terms involving nn cancel out, we are left with a statement involving only constants.6=6-6 = -6

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