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Simplifying (-2 + 3i) + 2(5 + 6i) = 1 Remove parenthesis around (-2 + 3i) -2 + 3i + 2(5 + 6i) = 1 -2 + 3i + (5 * 2 + 6i * 2) = 1 -2 + 3i + (10 + 12i) = 1 Reorder the terms: -2 + 10 + 3i + 12i = 1 Combine like terms: -2 + 10 = 8 8 + 3i + 12i = 1 Combine like terms: 3i + 12i = 15i 8 + 15i = 1 Solving 8 + 15i = 1 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 15i = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 15i = 1 + -8 15i = 1 + -8 Combine like terms: 1 + -8 = -7 15i = -7 Divide each side by '15'. i = -0.4666666667 Simplifying i = -0.4666666667
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