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Simplifying (-10 + -7i) + -1(5 + -3i) = 0 Remove parenthesis around (-10 + -7i) -10 + -7i + -1(5 + -3i) = 0 -10 + -7i + (5 * -1 + -3i * -1) = 0 -10 + -7i + (-5 + 3i) = 0 Reorder the terms: -10 + -5 + -7i + 3i = 0 Combine like terms: -10 + -5 = -15 -15 + -7i + 3i = 0 Combine like terms: -7i + 3i = -4i -15 + -4i = 0 Solving -15 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4i = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4i = 0 + 15 -4i = 0 + 15 Combine like terms: 0 + 15 = 15 -4i = 15 Divide each side by '-4'. i = -3.75 Simplifying i = -3.75
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