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Simplifying 12 + -1(15 + -3i) = 0 12 + (15 * -1 + -3i * -1) = 0 12 + (-15 + 3i) = 0 Combine like terms: 12 + -15 = -3 -3 + 3i = 0 Solving -3 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3i = 0 + 3 3i = 0 + 3 Combine like terms: 0 + 3 = 3 3i = 3 Divide each side by '3'. i = 1 Simplifying i = 1
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