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Simplifying (-2 + 15i) = (8 + -3i) Remove parenthesis around (-2 + 15i) -2 + 15i = (8 + -3i) Remove parenthesis around (8 + -3i) -2 + 15i = 8 + -3i Solving -2 + 15i = 8 + -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. -2 + 15i + 3i = 8 + -3i + 3i Combine like terms: 15i + 3i = 18i -2 + 18i = 8 + -3i + 3i Combine like terms: -3i + 3i = 0 -2 + 18i = 8 + 0 -2 + 18i = 8 Add '2' to each side of the equation. -2 + 2 + 18i = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 18i = 8 + 2 18i = 8 + 2 Combine like terms: 8 + 2 = 10 18i = 10 Divide each side by '18'. i = 0.5555555556 Simplifying i = 0.5555555556
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