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