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How many solutions does the following equation have?\newline−9(z+8)=−9z−72-9(z+8)=-9z-72\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions

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Find the number of solutions to a linear equationright chevron icon

Full solution

Q. How many solutions does the following equation have?\newline−9(z+8)=−9z−72-9(z+8)=-9z-72\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
  1. Distribute −9-9: Simplify the left side of the equation by distributing -9＂).\(\newline\$-9(z+8) = -9z - 72\)
  2. Compare to right side: Compare the simplified equation to the right side.\(\newline\)\(-9z - 72 = -9z - 72\)
  3. Subtract \(-9z\): Subtract \(-9z\) from both sides to see if the equation holds true for all \(z\).\(0 = 0\)

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