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Simplifying 3(2i + -6) = 18 + -21 Reorder the terms: 3(-6 + 2i) = 18 + -21 (-6 * 3 + 2i * 3) = 18 + -21 (-18 + 6i) = 18 + -21 Combine like terms: 18 + -21 = -3 -18 + 6i = -3 Solving -18 + 6i = -3 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6i = -3 + 18 Combine like terms: -18 + 18 = 0 0 + 6i = -3 + 18 6i = -3 + 18 Combine like terms: -3 + 18 = 15 6i = 15 Divide each side by '6'. i = 2.5 Simplifying i = 2.5
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