Simplify −4(7b+3)+24b−8

Let's simplify the expression step by step:

\[ -4(7b + 3) + 24b - 8 \]

First, distribute the \(-4\) across the parentheses:

\[ -4 \cdot 7b - 4 \cdot 3 + 24b - 8 \]

This gives:

\[ -28b - 12 + 24b - 8 \]

Next, combine the \(b\) terms:

\[ -28b + 24b = -4b \]

Now, combine the constant terms:

\[ -12 - 8 = -20 \]

Putting it all together, we have:

\[ -4b - 20 \]

So, the simplified expression is:

\(-4b - 20\)