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How many solutions does this equation have?\newline−8c+8c=0-8c + 8c = 0\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?\newline−8c+8c=0-8c + 8c = 0\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Combine like terms: Simplify the left side of the equation by combining like terms. \newline−8c+8c-8c + 8c \newline=(−8+8)c= (-8 + 8)c \newline=0c= 0c
  2. Simplify to 00: Since 0c=00c = 0 for any value of cc, the equation simplifies to 0=00 = 0.\newline0=00 = 0 is a true statement for all values of cc.\newlineTherefore, the equation –8c+8c=0–8c + 8c = 0 has an infinite number of solutions.

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