Using the order of operations (PEMDAS/BODMAS), multiplication takes precedence over addition. Let’s solve:

$3 + 4 \cdot 6$

Step-by-step:

1. First, perform the multiplication:
   $4 \cdot 6 = 24$
2. Then, add 3:
   $3 + 24 = 27$

Thus, the result is:

$27$

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Would you like further details or have any other questions?
Here are 5 related questions to deepen your understanding:

1. What is the order of operations and why does it matter?
2. How would the answer change if parentheses were used, such as $(3 + 4) \cdot 6$?
3. What happens if we introduce exponents into this expression, like $3 + 4 \cdot 6^2$?
4. Can you apply order of operations to expressions with fractions?
5. How would you calculate this expression on a basic calculator?

Tip: Always resolve multiplication and division before addition and subtraction unless parentheses dictate otherwise!