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Simplifying 6(5 + -3i) + -6i = 81 (5 * 6 + -3i * 6) + -6i = 81 (30 + -18i) + -6i = 81 Combine like terms: -18i + -6i = -24i 30 + -24i = 81 Solving 30 + -24i = 81 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -24i = 81 + -30 Combine like terms: 30 + -30 = 0 0 + -24i = 81 + -30 -24i = 81 + -30 Combine like terms: 81 + -30 = 51 -24i = 51 Divide each side by '-24'. i = -2.125 Simplifying i = -2.125
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