

The equation is
.
(Distribute z)
Find the Least Common Denominator (LCD) of improper fraction
and
.
Find the Least Common Multiple of 7 and 3.
\Multiples of 7: 
Multiples of 3: 
The least common multiple of 3 and 7 is 21, the LCD is 21.
\Rewrite each fraction using the least common denominator (LCD).
\
and 
Rewrite the sum using the LCD.
\
\
(Add:
)

According to multiplication property of equality: Multiply each side by 21.
\
(Cancel common terms)
(Divide each side by 26)
(Cancel common terms)

(Cancel common terms)
Verify:
\To check the solution, substitute
in original equation.
(Substitute
)

(Cancel common terms)
(Multiply:
)
(Add:
)
Compare the values, the equation is true. The solution is
.
The value of
.