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$Simplify the expression. Write your answers using integers or improper fractions. -(1)/(5)(-25 q+25)-q Answer:$

Simplify the expression. Write your answers using integers or improper fractions. $\newline$ $-\frac{1}{5}(-25 q+25)-q$ $\newline$ Answer:

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Roots of rational numbers

Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.

\newline

-\frac{1}{5}(-25 q+25)-q

\newline

Answer:

Distribute Negative Sign: Distribute the negative sign through the parentheses. $\newline$ We have $-\frac{1}{5}(-25 q+25)$ . Distributing the negative sign gives us $\frac{1}{5}(25 q - 25)$ .
Simplify Inside Parentheses: Simplify the expression inside the parentheses. $\newline$ We can factor out a $25$ from both terms inside the parentheses to get $(1)/(5)(25(q - 1))$ .
Simplify Multiplication: Simplify the multiplication by the fraction. $\newline$ Multiplying $(1)/(5)$ by $25(q - 1)$ gives us $5(q - 1)$ because $25/5 = 5$ .
Distribute $5$ : Distribute the $5$ through the parentheses. $\newline$ Multiplying $5$ by each term inside the parentheses gives us $5q - 5$ .
Combine Like Terms: Combine like terms. $\newline$ We have $5q - 5 - q$ . Combining $5q$ and $-q$ gives us $4q$ .
Final Simplified Expression: Write the final simplified expression. $\newline$ The final simplified expression is $4q - 5$ .

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