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Simplifying -3i + (6 + -5i) + -4(2 + -3i) = 0 Remove parenthesis around (6 + -5i) -3i + 6 + -5i + -4(2 + -3i) = 0 -3i + 6 + -5i + (2 * -4 + -3i * -4) = 0 -3i + 6 + -5i + (-8 + 12i) = 0 Reorder the terms: 6 + -8 + -3i + -5i + 12i = 0 Combine like terms: 6 + -8 = -2 -2 + -3i + -5i + 12i = 0 Combine like terms: -3i + -5i = -8i -2 + -8i + 12i = 0 Combine like terms: -8i + 12i = 4i -2 + 4i = 0 Solving -2 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4i = 0 + 2 4i = 0 + 2 Combine like terms: 0 + 2 = 2 4i = 2 Divide each side by '4'. i = 0.5 Simplifying i = 0.5
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