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Simplifying x + -8i + (y + -3i) = 1 + i Reorder the terms: x + -8i + (-3i + y) = 1 + i Remove parenthesis around (-3i + y) x + -8i + -3i + y = 1 + i Reorder the terms: -8i + -3i + x + y = 1 + i Combine like terms: -8i + -3i = -11i -11i + x + y = 1 + i Solving -11i + x + y = 1 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. -11i + x + -1i + y = 1 + i + -1i Reorder the terms: -11i + -1i + x + y = 1 + i + -1i Combine like terms: -11i + -1i = -12i -12i + x + y = 1 + i + -1i Combine like terms: i + -1i = 0 -12i + x + y = 1 + 0 -12i + x + y = 1 Add '-1x' to each side of the equation. -12i + x + -1x + y = 1 + -1x Combine like terms: x + -1x = 0 -12i + 0 + y = 1 + -1x -12i + y = 1 + -1x Add '-1y' to each side of the equation. -12i + y + -1y = 1 + -1x + -1y Combine like terms: y + -1y = 0 -12i + 0 = 1 + -1x + -1y -12i = 1 + -1x + -1y Divide each side by '-12'. i = -0.08333333333 + 0.08333333333x + 0.08333333333y Simplifying i = -0.08333333333 + 0.08333333333x + 0.08333333333y
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