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2\times \left(5i\right)-3a=-84
Multiply both sides of the equation by 12, the least common multiple of 6,4.
10i-3a=-84
Multiply 2 and 5i to get 10i.
-3a=-84-10i
Subtract 10i from both sides.
a=\frac{-84-10i}{-3}
Divide both sides by -3.
a=28+\frac{10}{3}i
Divide -84-10i by -3 to get 28+\frac{10}{3}i.