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Solve for nn.\newline2n8=4n+42n - 8 = 4n + 4

Full solution

Q. Solve for nn.\newline2n8=4n+42n - 8 = 4n + 4
  1. Subtract n terms: First, we want to get all the nn terms on one side of the equation and the constant terms on the other side. We can do this by subtracting 2n2n from both sides of the equation.2n82n=4n+42n2n - 8 - 2n = 4n + 4 - 2nThis simplifies to:8=2n+4-8 = 2n + 4
  2. Isolate nn term: Next, we subtract 44 from both sides to isolate the term with nn on one side.\newline84=2n+44-8 - 4 = 2n + 4 - 4\newlineThis simplifies to:\newline12=2n-12 = 2n
  3. Divide to solve nn: Now, we divide both sides by 22 to solve for nn.\newline122=2n2\frac{-12}{ 2} = \frac{2n}{2}This simplifies to:\newlinen=6n = -6

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