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Simplifying (5 + -3i) + -1(-2 + 7i) = 0 Remove parenthesis around (5 + -3i) 5 + -3i + -1(-2 + 7i) = 0 5 + -3i + (-2 * -1 + 7i * -1) = 0 5 + -3i + (2 + -7i) = 0 Reorder the terms: 5 + 2 + -3i + -7i = 0 Combine like terms: 5 + 2 = 7 7 + -3i + -7i = 0 Combine like terms: -3i + -7i = -10i 7 + -10i = 0 Solving 7 + -10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10i = 0 + -7 -10i = 0 + -7 Combine like terms: 0 + -7 = -7 -10i = -7 Divide each side by '-10'. i = 0.7 Simplifying i = 0.7
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