Solve the Equation: -38 - ((-14) - (-7)) - 3(7 + 4b) = ?

To solve this problem, we will simplify the given expression step by step:

First, consider the expression inside the innermost parentheses: $(\text{-}14)-(-7)$.

Using the rule that subtracting a negative number is equivalent to adding its positive counterpart, we have:

$(\text{-}14)-(-7) = \text{-}14 + 7$.

Simplifying this gives us $-7$.

Now substitute back into the original expression:

$-38 - (-7) - 3(7 + 4b)$.

We can handle the next operation as follows:

$-38 - (-7)$ is equivalent to $-38 + 7$.

Simplifying this gives us: $-31$.

Next, consider the term $-3(7 + 4b)$. Using the distributive property, distribute $-3$:

$-3 \times 7 = -21$.

$-3 \times 4b = -12b$.

Thus, $-3(7 + 4b) = -21 - 12b$.

Substitute back into the expression:

$-31 - 21 - 12b$.

Combine the constants:

$-31 - 21 = -52$.

The simplified expression is:

$-52 - 12b$.

Therefore, the solution to the problem is $-52 - 12b$.