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Simplifying 5(6i + -3) = 5(5i + -3) Reorder the terms: 5(-3 + 6i) = 5(5i + -3) (-3 * 5 + 6i * 5) = 5(5i + -3) (-15 + 30i) = 5(5i + -3) Reorder the terms: -15 + 30i = 5(-3 + 5i) -15 + 30i = (-3 * 5 + 5i * 5) -15 + 30i = (-15 + 25i) Add '15' to each side of the equation. -15 + 15 + 30i = -15 + 15 + 25i Combine like terms: -15 + 15 = 0 0 + 30i = -15 + 15 + 25i 30i = -15 + 15 + 25i Combine like terms: -15 + 15 = 0 30i = 0 + 25i 30i = 25i Solving 30i = 25i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-25i' to each side of the equation. 30i + -25i = 25i + -25i Combine like terms: 30i + -25i = 5i 5i = 25i + -25i Combine like terms: 25i + -25i = 0 5i = 0 Divide each side by '5'. i = 0 Simplifying i = 0
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