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Simplifying (-2 + 15i) + -1(8 + -3i) = 0 Remove parenthesis around (-2 + 15i) -2 + 15i + -1(8 + -3i) = 0 -2 + 15i + (8 * -1 + -3i * -1) = 0 -2 + 15i + (-8 + 3i) = 0 Reorder the terms: -2 + -8 + 15i + 3i = 0 Combine like terms: -2 + -8 = -10 -10 + 15i + 3i = 0 Combine like terms: 15i + 3i = 18i -10 + 18i = 0 Solving -10 + 18i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 18i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 18i = 0 + 10 18i = 0 + 10 Combine like terms: 0 + 10 = 10 18i = 10 Divide each side by '18'. i = 0.5555555556 Simplifying i = 0.5555555556
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