Identify the mistake

Algebra Level 4

Tell me at which step I'm going wrong.

  1. \((a+7)=9\)
  2. \((a+7)^{2}=81\)
  3. \(a^2 +14a+49=81\)
  4. \(a^2 +14a-32=0\)
  5. \(a^2+16a-2a-32=0\)
  6. \(a(a+16)-2(a+16)=0\)
  7. So, \(a=-16\) and \(a=2\)
  8. Putting the value of a in our first equation.
  9. \(-16+7=9\)

How is that possible?

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