To evaluate the expression 3 * 2(5 - 3 + 6), we can follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division, and finally any addition or subtraction.
Using that order, we can simplify the expression as follows:
3 * 2(5 - 3 + 6)
= 3 * 2(8)
= 3 * 16
= 48
Therefore, the value of the expression is 48.