Question

Which expression is equivalent to 6(2p+2)+6?

Answer 1

To simplify the expression \( 6(2p + 2) + 6 \), we can follow these steps:

1. Distribute the 6 in the first part of the expression:
\[
6(2p + 2) = 6 \cdot 2p + 6 \cdot 2 = 12p + 12
\]

2. Now, substitute this back into the original expression:
\[
12p + 12 + 6
\]

3. Combine the constant terms:
\[
12 + 6 = 18
\]

4. Thus, the entire expression simplifies to:
\[
12p + 18
\]

So, the expression equivalent to \( 6(2p + 2) + 6 \) is \( 12p + 18 \).