To evaluate the expression [tex]\( 6 + 3 \cdot 4 \)[/tex], we need to follow the order of operations. This means we perform any multiplication or division before addition or subtraction.
Here is the step-by-step solution:
1. Perform the multiplication first:
[tex]\[
3 \cdot 4 = 12
\][/tex]
2. Now, add the result of the multiplication to the initial number:
[tex]\[
6 + 12 = 18
\][/tex]
Therefore, the value of the expression [tex]\( 6 + 3 \cdot 4 \)[/tex] is:
[tex]\[
18
\][/tex]
So, the answer is [tex]\( \boxed{18} \)[/tex].
