To solve the inequality $3d + 6 < d + 8$ for $d$, let's simplify step by step:

1. Start with the inequality: $3d + 6 < d + 8$

2. Isolate terms with $d$ on one side: Subtract $d$ from both sides: $3d - d + 6 < 8$

   Simplify: $2d + 6 < 8$

3. Isolate $2d$: Subtract $6$ from both sides: $2d < 2$

4. Solve for $d$: Divide both sides by $2$: $d < 1$

Final Answer:

$d < 1$

Let me know if you'd like further explanation!

Related Questions:

1. How do you graph the solution $d < 1$ on a number line?
2. How would the inequality change if it were $3d + 6 > d + 8$?
3. What happens if you multiply or divide by a negative number in an inequality?
4. How do you test solutions for an inequality?
5. Can you rewrite the same inequality in a different form (e.g., $d > x$)?

Tip: When solving inequalities, always check if dividing by a negative number flips the inequality sign!