We need to expand the brackets and simplify the expression:

$6(4d - 3) + 7d$

Step 1: Expand the brackets

Distribute $6$ across the terms inside the brackets:

$6(4d - 3) = 6 \cdot 4d - 6 \cdot 3 = 24d - 18$

Step 2: Combine like terms

Add the expanded terms to the remaining part of the expression:

$24d - 18 + 7d$

Combine the terms with $d$ (like terms):

$24d + 7d = 31d$

So the expression becomes:

$31d - 18$

Final Answer:

$\boxed{31d - 18}$

Let me know if you'd like more clarification on any step! 😊

Related Questions:

1. How would you expand and simplify $5(3x + 2) + 4x$?
2. Simplify $7(2y - 5) + 3y$.
3. What is the expanded form of $4(6a + 5) - 2a$?
4. Solve $3(2x - 4) + 8x = 0$ for $x$.
5. Expand and simplify $8(2m - 3) + 5(4m + 1)$.

Tip:

When expanding brackets, always distribute the multiplier to each term inside the bracket carefully. Then simplify by combining like terms.