Final answer:
To evaluate and simplify the expression 3b-2(1 - b) a - 2 when a = 3 and b = 2, substitute the given values and simplify the expression step by step. The simplified expression is 10.
Step-by-step explanation:
To evaluate and simplify the expression, we substitute the given values of a = 3 and b = 2 into the expression:
3b - 2(1 - b) a - 2
Replacing b with 2 gives us:
3(2) - 2(1 - 2) 3 - 2
Simplifying further, we have:
6 - 2(1 - 2) 3 - 2
Since 1 - 2 equals -1, we can rewrite the expression as:
6 - 2(-1) 3 - 2
Then, we solve the expression inside the parentheses:
6 + 2 3 - 2
Next, we perform the multiplication:
6 + 6 - 2
Finally, we perform the addition and subtraction from left to right:
12 - 2 = 10.