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Simplifying (x + y) + 6i = 2 Remove parenthesis around (x + y) x + y + 6i = 2 Reorder the terms: 6i + x + y = 2 Solving 6i + x + y = 2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. 6i + x + -1x + y = 2 + -1x Combine like terms: x + -1x = 0 6i + 0 + y = 2 + -1x 6i + y = 2 + -1x Add '-1y' to each side of the equation. 6i + y + -1y = 2 + -1x + -1y Combine like terms: y + -1y = 0 6i + 0 = 2 + -1x + -1y 6i = 2 + -1x + -1y Divide each side by '6'. i = 0.3333333333 + -0.1666666667x + -0.1666666667y Simplifying i = 0.3333333333 + -0.1666666667x + -0.1666666667y
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