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Simplifying 3(6i + -4) + -9 = 105 Reorder the terms: 3(-4 + 6i) + -9 = 105 (-4 * 3 + 6i * 3) + -9 = 105 (-12 + 18i) + -9 = 105 Reorder the terms: -12 + -9 + 18i = 105 Combine like terms: -12 + -9 = -21 -21 + 18i = 105 Solving -21 + 18i = 105 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 18i = 105 + 21 Combine like terms: -21 + 21 = 0 0 + 18i = 105 + 21 18i = 105 + 21 Combine like terms: 105 + 21 = 126 18i = 126 Divide each side by '18'. i = 7 Simplifying i = 7
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