The answers are: 1.6 and 0

To get to the answers you should use the definition of absolute value:

|x| = x if x is positive or '0'

|x| = −x if x is negative

In your case you have the following equation:

3(a+4)=6|2a - (2 - a)|

From the absolute value definition we can write:

3(a+4)=6*(2a - (2 - a)), when 2a - (2 - a) >=0

3(a+4)= - 6*(2a - (2 - a)), when 2a - (2 - a) < 0

or

3(a+4)=6*(2a - (2 - a)), when a >= 0.6

3(a+4)=-6*(2a - (2 - a)), when a < 0.6

Now we will firt solve:

3(a+4)=6*(2a - (2 - a))

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Click here to see the step by step solution for 'a'

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a = 1.6

Since 1.6 > 0.6 follows one solution is a = 1.6

Next we will solve:

3(a+4)=-6*(2a - (2 - a))

........

Click here to see the step by step solution for 'a'

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a = 0

Since 0 < 0.6 the second solution is a = 0.