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Simplifying 45 = -6 + 3i Solving 45 = -6 + 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. 45 + -3i = -6 + 3i + -3i Combine like terms: 3i + -3i = 0 45 + -3i = -6 + 0 45 + -3i = -6 Add '-45' to each side of the equation. 45 + -45 + -3i = -6 + -45 Combine like terms: 45 + -45 = 0 0 + -3i = -6 + -45 -3i = -6 + -45 Combine like terms: -6 + -45 = -51 -3i = -51 Divide each side by '-3'. i = 17 Simplifying i = 17
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