Questions: Evaluate the expression for q=-1. Write your answer in simplest form. (-q-7)/(-q-6)=

Evaluate the expression for q=-1.
Write your answer in simplest form.
(-q-7)/(-q-6)=
Transcript text: Evaluate the expression for $q=-1$. Write your answer in simplest form. \[ \frac{-q-7}{-q-6}= \]
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Solution

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Solution Steps

To evaluate the given rational expression for \( q = -1 \), substitute \( q = -1 \) into the expression and simplify the result. This involves basic arithmetic operations to simplify the fraction.

Step 1: Substitute \( q \)

We start by substituting \( q = -1 \) into the expression:

\[ \frac{-q - 7}{-q - 6} = \frac{-(-1) - 7}{-(-1) - 6} \]

Step 2: Simplify the Numerator and Denominator

Now, we simplify both the numerator and the denominator:

  • Numerator: \[ -(-1) - 7 = 1 - 7 = -6 \]

  • Denominator: \[ -(-1) - 6 = 1 - 6 = -5 \]

Step 3: Evaluate the Expression

Now we can evaluate the expression:

\[ \frac{-6}{-5} = \frac{6}{5} = 1.2 \]

Final Answer

The final result of the evaluation is

\[ \boxed{1.2} \]

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