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Solve the equation. Check your solution\newline5(5n5)=30-5(5n-5)=30\newline

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Q. Solve the equation. Check your solution\newline5(5n5)=30-5(5n-5)=30\newline
  1. Distribute 5-5: Distribute the 5-5 across the parentheses.\newline5×5n+5×5=30-5 \times 5n + -5 \times -5 = 30\newline25n+25=30-25n + 25 = 30
  2. Subtract 2525: Subtract 2525 from both sides to isolate the term with the variable.\newline25n+2525=3025-25n + 25 - 25 = 30 - 25\newline25n=5-25n = 5
  3. Divide by 25-25: Divide both sides by 25-25 to solve for nn.\newline25n/25=5/25-25n / -25 = 5 / -25\newlinen=1/5n = -1/5
  4. Check solution: Check the solution by substituting nn back into the original equation.\newline5(5(1/5)5)=30-5(5(-1/5)-5) = 30\newline5(15)=30-5(1 - 5) = 30\newline5(4)=30-5(-4) = 30\newline20=3020 = 30

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