7a - 3(a - 4) + 2

Let's simplify the expression step-by-step:

Given expression:
7a - 3(a - 4) + 2

Step 1: Distribute the -3 inside the parentheses:
7a - 3 * a + 3 * 4 + 2

Which simplifies to:
7a - 3a + 12 + 2

Step 2: Combine like terms:
(7a - 3a) + (12 + 2) = 4a + 14

Final simplified expression:
4a + 14