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Simplifying 9(i + -2) = 3(i + -2) Reorder the terms: 9(-2 + i) = 3(i + -2) (-2 * 9 + i * 9) = 3(i + -2) (-18 + 9i) = 3(i + -2) Reorder the terms: -18 + 9i = 3(-2 + i) -18 + 9i = (-2 * 3 + i * 3) -18 + 9i = (-6 + 3i) Solving -18 + 9i = -6 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. -18 + 9i + -3i = -6 + 3i + -3i Combine like terms: 9i + -3i = 6i -18 + 6i = -6 + 3i + -3i Combine like terms: 3i + -3i = 0 -18 + 6i = -6 + 0 -18 + 6i = -6 Add '18' to each side of the equation. -18 + 18 + 6i = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 6i = -6 + 18 6i = -6 + 18 Combine like terms: -6 + 18 = 12 6i = 12 Divide each side by '6'. i = 2 Simplifying i = 2
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