To calculate |a|, we'll have to determine the value of the number a.

We'll determine a.

We'll start with the first term, |-7| = 7.

We'll continue with |-5+2| = |-3| = 3

Now, we'll calculate the second term, starting with the product |-5+2|*(-7) = 3*(-7) = -21.

We'll evaluate the division |-5+2|*(-7) : 3 = (-21):3 = -7

We'll combine the like terms 10 - 14 = -4

We'll re-write the expression:

a = 7 - 7 + (-4)

We'll elimnate like terms and we'll get:

a = 0 - 4

**a = -4**

Now, we'll determine the absolute value of a:

|a| = |-4|

**|a| = 4**

To calculate |-7|+|-5+2|*(-7)/3+10-14. To calculate |a| .

Solution:

We know that |x| = x if x>0. Also |x| = -x if x<0.

So term by term we simplify:

1st term T1 = |-7| = 7

2nd term = T2 = |-5+2|*(-7)/3 = |-3|(-7)/3 = 3*(-7)/3 = -7.

3rd term =T3 = 3

4th term = T4= 10

5th term = T5.= 14

Therefore a = T1+T2+T3+T4-T5 = 7 -7 +3+10-14 = -1

Therefore , |a| = |-1| = 1.