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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
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