\"\"\"\"\"\"

\

\

The equation is \"\"

\

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

\

\"\"           (Add 4q to each side).

\

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

\

\"\"                      (Commutative property: a + b = b + a)

\

\"\"                               (Add: 10q + 4q = 14q)

\

\"\"                                     (Additive identity property: \"\")

\

\"\"

\

According to subtraction property of equality: if \"\", then \"\".

\

\"\"                    (Subtract 10 from each side)

\

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

\

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

\

\"\"                                          (Additive identity property: 14q + 0 = 14q)

\

\"\"

\

According to division property of equality: if \"\", then \"\".

\

\"\"                                     (Divide each side by 14)

\

\"\"                                            (Cancel common terms)

\

\"\"                                            (Divide: \"\")\"\"

\

Verify the solution:

\

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

\

\"\"

\

\"\"                (Multiply: \"\")

\

\"\"                      (Divide: \"\" )

\

\"\"                                         (Add: \"\")

\

Compare the values, the equation is true.

\

\"\"

\

The value of \"\".