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Simplifying (28 + -4i) + -1(10 + -30) = 0 Remove parenthesis around (28 + -4i) 28 + -4i + -1(10 + -30) = 0 Combine like terms: 10 + -30 = -20 28 + -4i + -1(-20) = 0 Multiply -1 * -20 28 + -4i + 20 = 0 Reorder the terms: 28 + 20 + -4i = 0 Combine like terms: 28 + 20 = 48 48 + -4i = 0 Solving 48 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -4i = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -4i = 0 + -48 -4i = 0 + -48 Combine like terms: 0 + -48 = -48 -4i = -48 Divide each side by '-4'. i = 12 Simplifying i = 12
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