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Simplifying (10 + -4i) + -1(7 + 3i) = 0 Remove parenthesis around (10 + -4i) 10 + -4i + -1(7 + 3i) = 0 10 + -4i + (7 * -1 + 3i * -1) = 0 10 + -4i + (-7 + -3i) = 0 Reorder the terms: 10 + -7 + -4i + -3i = 0 Combine like terms: 10 + -7 = 3 3 + -4i + -3i = 0 Combine like terms: -4i + -3i = -7i 3 + -7i = 0 Solving 3 + -7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7i = 0 + -3 -7i = 0 + -3 Combine like terms: 0 + -3 = -3 -7i = -3 Divide each side by '-7'. i = 0.4285714286 Simplifying i = 0.4285714286
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