Hi there! The answer is 6.
In order to evaluate the expression |4b - 4| + 3b for b = -2 we must plug in b= -2 into the expression.
![|4 * - 2 - 4| + 3 * - 2 =](https://img.qammunity.org/2019/formulas/mathematics/high-school/5kedbagdg24lc2cjlw0b4rqlqx5r1ld5xc.png)
Use PEMDAS so multiply first.
![| - 8 - 4| - 6 =](https://img.qammunity.org/2019/formulas/mathematics/high-school/5qblaa1yz5r8646didbbcpjgea9urybhvk.png)
Add.
![| - 12| - 6 =](https://img.qammunity.org/2019/formulas/mathematics/high-school/jsjmzotkt3l64m677lw63xlomao2lmnmtc.png)
Work out the absolute value. The absolute value stripes make everything between those stripes positive.
![12 - 6 =](https://img.qammunity.org/2019/formulas/mathematics/high-school/8r665vyaroypho7c204e6q3nl24tjhrt2l.png)
Subtract
![6](https://img.qammunity.org/2019/formulas/mathematics/high-school/4f9gb0n8gtnl14jn4oj9l1cp09nmgthf9h.png)
Therefore, the answer is 6.
~ Hope this helps you!