The equation is
.
To find the value of n and m set the real parts equal to each other and the imaginary
\parts equal to each other.
Real parts:
\
Apply subtraction property of equality: Subtract 4 from each side.
\
Apply commutative property of addition:
.

(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Imaginary parts:
\
Apply addition property of equality: Add 7 to each side.
\
(Additive inverse property:
)
(Additive identity property:
)
(Add:
)
Apply division property of equality: Divide each side by 3.
\
(Divide each side by 3)
(Cancel common terms)
The values of m and n are
and
respectively.