To solve the expression \((-14/7 - 4/9) - (-10/7 - 4/9)\), let's break it down step by step.

First, simplify each fraction where possible:

\[
-14/7 = -2
\]

So the expression becomes:

\[
(-2 - 4/9) - (-10/7 - 4/9)
\]

Next, let's deal with the fractions inside the parentheses. We need a common denominator to combine the fractions. The common denominator for 7 and 9 is 63.

Convert \(-10/7\) and \(-4/9\) to have a denominator of 63:

\[
-10/7 = -10 \times 9 / (7 \times 9) = -90/63
\]

\[
-4/9 = -4 \times 7 / (9 \times 7) = -28/63
\]

Now, rewrite the expression with these common denominators:

\[
(-2 - 4/9) - (-90/63 - 28/63)
\]

Combine the fractions inside the parentheses:

\[
-90/63 - 28/63 = -118/63
\]

So the expression now is:

\[
(-2 - 4/9) - (-118/63)
\]

Convert \(-4/9\) to have a denominator of 63:

\[
-4/9 = -28/63
\]

Now the expression is:

\[
(-2 - 28/63) - (-118/63)
\]

Convert \(-2\) to have a denominator of 63:

\[
-2 = -2 \times 63 / 63 = -126/63
\]

So the expression becomes:

\[
(-126/63 - 28/63) - (-118/63)
\]

Combine the fractions in the first part:

\[
-126/63 - 28/63 = -154/63
\]

Now the expression is:

\[
-154/63 - (-118/63)
\]

Subtracting a negative is the same as adding:

\[
-154/63 + 118/63
\]

Combine the fractions:

\[
-154/63 + 118/63 = (-154 + 118) / 63 = -36/63
\]

Simplify the fraction:

\[
-36/63 = -4/7
\]

So the final answer is:

\[
-4/7
\]