-2(-2i-3)=.5(6i+6)

Solution for -2(-2i-3)=.5(6i+6) equation:

Simplifying
-2(-2i + -3) = 0.5(6i + 6)

Reorder the terms:
-2(-3 + -2i) = 0.5(6i + 6)
(-3 * -2 + -2i * -2) = 0.5(6i + 6)
(6 + 4i) = 0.5(6i + 6)

Reorder the terms:
6 + 4i = 0.5(6 + 6i)
6 + 4i = (6 * 0.5 + 6i * 0.5)
6 + 4i = (3 + 3i)

Solving
6 + 4i = 3 + 3i

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-3i' to each side of the equation.
6 + 4i + -3i = 3 + 3i + -3i

Combine like terms: 4i + -3i = 1i
6 + 1i = 3 + 3i + -3i

Combine like terms: 3i + -3i = 0
6 + 1i = 3 + 0
6 + 1i = 3

Add '-6' to each side of the equation.
6 + -6 + 1i = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 1i = 3 + -6
1i = 3 + -6

Combine like terms: 3 + -6 = -3
1i = -3

Divide each side by '1'.
i = -3

Simplifying
i = -3