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Solve the equation. Check your solution. -5(5n-5)=30 The solution set is _____ (Type an integer or a simplified fraction).

Solve the equation. Check your solution.\newline−5(5n−5)=30-5(5 n-5)=30\newlineThe solution set is _____\_\_\_\_\_ (Type an integer or a simplified fraction).

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Full solution

Q. Solve the equation. Check your solution.\newline−5(5n−5)=30-5(5 n-5)=30\newlineThe solution set is _____\_\_\_\_\_ (Type an integer or a simplified fraction).
  1. Distribute −5-5: Distribute the −5-5 across the parentheses.\newline−5×5n+−5×−5=30-5 \times 5n + -5 \times -5 = 30\newlineThis simplifies to:\newline−25n+25=30-25n + 25 = 30
  2. Subtract 2525: Subtract 2525 from both sides of the equation to isolate the term with the variable.\newline−25n+25−25=30−25-25n + 25 - 25 = 30 - 25\newlineThis simplifies to:\newline−25n=5-25n = 5
  3. Divide by −25-25: Divide both sides of the equation by −25-25 to solve for nn.−25n/−25=5/−25-25n / -25 = 5 / -25 This simplifies to:n=−1/5n = -1/5

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