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Simplifying (-0.4 + 0.9i) + -1(-0.6 + i) = 0 Remove parenthesis around (-0.4 + 0.9i) -0.4 + 0.9i + -1(-0.6 + i) = 0 -0.4 + 0.9i + (-0.6 * -1 + i * -1) = 0 -0.4 + 0.9i + (0.6 + -1i) = 0 Reorder the terms: -0.4 + 0.6 + 0.9i + -1i = 0 Combine like terms: -0.4 + 0.6 = 0.2 0.2 + 0.9i + -1i = 0 Combine like terms: 0.9i + -1i = -0.1i 0.2 + -0.1i = 0 Solving 0.2 + -0.1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.1i = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.1i = 0 + -0.2 -0.1i = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.1i = -0.2 Divide each side by '-0.1'. i = 2 Simplifying i = 2
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