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Simplifying 4x + -7i = 3(3x + -9u) Reorder the terms: -7i + 4x = 3(3x + -9u) Reorder the terms: -7i + 4x = 3(-9u + 3x) -7i + 4x = (-9u * 3 + 3x * 3) -7i + 4x = (-27u + 9x) Solving -7i + 4x = -27u + 9x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4x' to each side of the equation. -7i + 4x + -4x = -27u + 9x + -4x Combine like terms: 4x + -4x = 0 -7i + 0 = -27u + 9x + -4x -7i = -27u + 9x + -4x Combine like terms: 9x + -4x = 5x -7i = -27u + 5x Divide each side by '-7'. i = 3.857142857u + -0.7142857143x Simplifying i = 3.857142857u + -0.7142857143x
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