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Simplifying 2x + 3y + -5i = 5 + -10i Reorder the terms: -5i + 2x + 3y = 5 + -10i Solving -5i + 2x + 3y = 5 + -10i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10i' to each side of the equation. -5i + 2x + 10i + 3y = 5 + -10i + 10i Reorder the terms: -5i + 10i + 2x + 3y = 5 + -10i + 10i Combine like terms: -5i + 10i = 5i 5i + 2x + 3y = 5 + -10i + 10i Combine like terms: -10i + 10i = 0 5i + 2x + 3y = 5 + 0 5i + 2x + 3y = 5 Add '-2x' to each side of the equation. 5i + 2x + -2x + 3y = 5 + -2x Combine like terms: 2x + -2x = 0 5i + 0 + 3y = 5 + -2x 5i + 3y = 5 + -2x Add '-3y' to each side of the equation. 5i + 3y + -3y = 5 + -2x + -3y Combine like terms: 3y + -3y = 0 5i + 0 = 5 + -2x + -3y 5i = 5 + -2x + -3y Divide each side by '5'. i = 1 + -0.4x + -0.6y Simplifying i = 1 + -0.4x + -0.6y
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