The expression given is $al(b - c) + d$. Let's simplify it step by step:

1. Distribute $al$ to both $b$ and $c$: $al(b - c) = al \cdot b - al \cdot c = ab - ac$

2. Now add $d$ to the result: $ab - ac + d$

So, the expression $al(b - c) + d$ is equivalent to:

$ab - ac + d$.

Would you like to see more details or have any questions?

Here are 5 related questions to consider:

1. How would the expression change if $d$ was multiplied by $a$ as well?
2. What happens if you substitute specific numbers for $a$, $b$, $c$, and $d$?
3. Can you factor the expression $ab - ac + d$ any further?
4. How does the distributive property apply in this situation?
5. What is the result if $b$ and $c$ are equal?

Tip: Always be careful with the signs when distributing terms across parentheses; this is where most mistakes happen.