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Simplifying 3x + -7i = 3(3x + -9u) Reorder the terms: -7i + 3x = 3(3x + -9u) Reorder the terms: -7i + 3x = 3(-9u + 3x) -7i + 3x = (-9u * 3 + 3x * 3) -7i + 3x = (-27u + 9x) Solving -7i + 3x = -27u + 9x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3x' to each side of the equation. -7i + 3x + -3x = -27u + 9x + -3x Combine like terms: 3x + -3x = 0 -7i + 0 = -27u + 9x + -3x -7i = -27u + 9x + -3x Combine like terms: 9x + -3x = 6x -7i = -27u + 6x Divide each side by '-7'. i = 3.857142857u + -0.8571428571x Simplifying i = 3.857142857u + -0.8571428571x
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