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Simplifying (4 + -3i) + -1(2 + 13i) = 0 Remove parenthesis around (4 + -3i) 4 + -3i + -1(2 + 13i) = 0 4 + -3i + (2 * -1 + 13i * -1) = 0 4 + -3i + (-2 + -13i) = 0 Reorder the terms: 4 + -2 + -3i + -13i = 0 Combine like terms: 4 + -2 = 2 2 + -3i + -13i = 0 Combine like terms: -3i + -13i = -16i 2 + -16i = 0 Solving 2 + -16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -16i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -16i = 0 + -2 -16i = 0 + -2 Combine like terms: 0 + -2 = -2 -16i = -2 Divide each side by '-16'. i = 0.125 Simplifying i = 0.125
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