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Simplifying (-30i + 7) + -1(9i + -8) = 0 Reorder the terms: (7 + -30i) + -1(9i + -8) = 0 Remove parenthesis around (7 + -30i) 7 + -30i + -1(9i + -8) = 0 Reorder the terms: 7 + -30i + -1(-8 + 9i) = 0 7 + -30i + (-8 * -1 + 9i * -1) = 0 7 + -30i + (8 + -9i) = 0 Reorder the terms: 7 + 8 + -30i + -9i = 0 Combine like terms: 7 + 8 = 15 15 + -30i + -9i = 0 Combine like terms: -30i + -9i = -39i 15 + -39i = 0 Solving 15 + -39i = 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 + -39i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -39i = 0 + -15 -39i = 0 + -15 Combine like terms: 0 + -15 = -15 -39i = -15 Divide each side by '-39'. i = 0.3846153846 Simplifying i = 0.3846153846
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