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

Solve the equation. Check your solution. $\newline$ $-5(5 n-5)=30$ $\newline$ The solution set is (Type an integer or a simplified fract

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Powers with fractional bases

Full solution

Q. Solve the equation. Check your solution.

\newline

-5(5 n-5)=30

\newline

The solution set is (Type an integer or a simplified fract

Distribute $-5$ : Distribute the $-5$ across the parentheses. $\newline$ $-5 \times 5n + -5 \times -5 = 30$ $\newline$ This simplifies to: $\newline$ $-25n + 25 = 30$
Subtract $25$ : Subtract $25$ from both sides of the equation to isolate the term with the variable. $\newline$ $-25n + 25 - 25 = 30 - 25$ $\newline$ This simplifies to: $\newline$ $-25n = 5$
Divide by $-25$ : Divide both sides of the equation by $-25$ to solve for $n$ . $-25n / -25 = 5 / -25$ This simplifies to: $n = -1/5$

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