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