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Simplifying 9(i + -3) = -3(2i + 4) Reorder the terms: 9(-3 + i) = -3(2i + 4) (-3 * 9 + i * 9) = -3(2i + 4) (-27 + 9i) = -3(2i + 4) Reorder the terms: -27 + 9i = -3(4 + 2i) -27 + 9i = (4 * -3 + 2i * -3) -27 + 9i = (-12 + -6i) Solving -27 + 9i = -12 + -6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i' to each side of the equation. -27 + 9i + 6i = -12 + -6i + 6i Combine like terms: 9i + 6i = 15i -27 + 15i = -12 + -6i + 6i Combine like terms: -6i + 6i = 0 -27 + 15i = -12 + 0 -27 + 15i = -12 Add '27' to each side of the equation. -27 + 27 + 15i = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 15i = -12 + 27 15i = -12 + 27 Combine like terms: -12 + 27 = 15 15i = 15 Divide each side by '15'. i = 1 Simplifying i = 1
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