\"\"\"\"

\

The equation is \"\".

\

According to addition property of equality: if a = b, then a + c = b + c.

\

\

\"\"              (Add 14 to each side)

\

\"\"                              (Apply Additive inverse property: -14 + 14 = 0)

\

\"\"                                          (Add: -6 + 14 = 8)

\

Write two cases:

\

Case-1: a = b

\

\"\"

\

Case-2: a = -b

\

 \"\"

\

\"\"

\

Solve the equation for Case-1.

\

 \"\"

\

According to addition property of equality: if a = b, then a + c = b + c.

\

\"\"                     (Add 3 to both sides)

\

\"\"                                 (Apply Additive inverse property: \"\")

\

\"\"                                    (Add: 8 + 3 = 11)\"\"

\

Check:

\

To check the solution, substitute \"\" in original equation.

\

\"\"

\

\"\"                           (Subtract: \"\")

\

\"\"                             (Absolute value of 8 is 8)

\

\"\"                                  (Subtract: \"\")

\

Compare the values the equation is true. \"\" is a solution.

\

\"\"

\

Solve the equation for Case-2.

\

\"\"

\

According to addition property of equality: if a = b, then a + c = b + c.

\

\"\"               (Add 3 to both sides)

\

\"\"                           (Apply Additive inverse property: \"\")

\

\"\"                                 (Add: -8 + 3 = -5)\"\"

\

Check:

\

To check the solution, substitute \"\" in original equation.

\

\"\"

\

\"\"                     (Add: \"\")

\

\"\"                          (Absolute value of |-8| is 8)

\

\"\"                               (Subtract: \"\")

\

Compare the values the equation is true. \"\" is a solution.

\

\"\"

\

The solutions are 11 and -5. The solution set is \"\".