Simplify. Express your answer as a single fraction in simplest form. \( 6-\frac{10}{q-4} \)

To combine the terms into a single fraction, we first express the whole number in terms of a fraction. We can rewrite \( 6 \) as \( \frac{6(q-4)}{q-4} \) to have a common denominator with the fraction. Now, the expression becomes: \[ \frac{6(q-4)}{q-4} - \frac{10}{q-4} \] Now, combining these fractions: \[ \frac{6(q-4) - 10}{q-4} \] Expanding \( 6(q-4) \): \[ 6q - 24 - 10 = 6q - 34 \] So the expression is now: \[ \frac{6q - 34}{q - 4} \] We can simplify \( 6q - 34 \) by factoring out 2: \[ \frac{2(3q - 17)}{q - 4} \] Thus, the final simplified expression, in simplest form, is: \[ \frac{2(3q - 17)}{q - 4} \]