To solve the given problem, we need to multiply the constant 6 by the variable \( b \) and then multiply the result by 3. This can be done by first multiplying 6 and 3, and then multiplying the result by \( b \).
Step 1: Define the Expression
We start with the expression \( 6b(3) \). This can be rewritten as \( 6 \times b \times 3 \).
Step 2: Simplify the Multiplication
Next, we simplify the multiplication:
\[
6 \times 3 = 18
\]
Thus, the expression becomes \( 18b \).
Step 3: Evaluate for \( b = 1 \)
Substituting \( b = 1 \) into the expression gives:
\[
18 \times 1 = 18
\]