To simplify the expression \((\frac{3}{4} + \frac{2}{3}) : \frac{17}{24} - \frac{3}{4}(\frac{3}{4} + \frac{2}{3}) : \frac{17}{24} - \frac{3}{4}\), we will follow these steps:

1. Calculate \(\frac{3}{4} + \frac{2}{3}\).
2. Simplify the division by \(\frac{17}{24}\).
3. Calculate \( -\frac{3}{4}(\frac{3}{4} + \frac{2}{3})\).
4. Combine the results.

**Step 1: Calculate \(\frac{3}{4} + \frac{2}{3}\)**

To add the fractions, find a common denominator. The least common multiple of 4 and 3 is 12.

\[
\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}
\]
\[
\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}
\]
\[
\frac{3}{4} + \frac{2}{3} = \frac{9}{12} + \frac{8}{12} = \frac{17}{12}
\]

**Step 2: Simplify \((\frac{17}{12}) : \frac{17}{24}\)**

Dividing by a fraction is equivalent to multiplying by its reciprocal:

\[
\frac{17}{12} : \frac{17}{24} = \frac{17}{12} \times \frac{24}{17}
\]
The \(17\) cancels out:
\[
= \frac{24}{12} = 2
\]

**Step 3: Calculate \(-\frac{3}{4} \times \frac{17}{12}\)**

Now, return to our expression, which is simplified:

\[
= 2 - \frac{3}{4} \times 2
\]
Calculating the multiplication:
\[
= 2 - \frac{3 \times 2}{4} = 2 - \frac{6}{4} = 2 - \frac{3}{2}
\]

Convert \(2\) into a fraction with a denominator of 2:
\[
2 = \frac{4}{2}
\]

Then we perform the subtraction:
\[
\frac{4}{2} - \frac{3}{2} = \frac{4 - 3}{2} = \frac{1}{2}
\]

**Final Result:**
The value of the expression is \(\frac{1}{2}\).