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Simplifying 12x + 3i = 4x + -15i Reorder the terms: 3i + 12x = 4x + -15i Reorder the terms: 3i + 12x = -15i + 4x Solving 3i + 12x = -15i + 4x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15i' to each side of the equation. 3i + 15i + 12x = -15i + 15i + 4x Combine like terms: 3i + 15i = 18i 18i + 12x = -15i + 15i + 4x Combine like terms: -15i + 15i = 0 18i + 12x = 0 + 4x 18i + 12x = 4x Add '-12x' to each side of the equation. 18i + 12x + -12x = 4x + -12x Combine like terms: 12x + -12x = 0 18i + 0 = 4x + -12x 18i = 4x + -12x Combine like terms: 4x + -12x = -8x 18i = -8x Divide each side by '18'. i = -0.4444444444x Simplifying i = -0.4444444444x
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