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Simplifying 5x + -25i + -2 = (-5y) * I + 8 Reorder the terms: -2 + -25i + 5x = (-5y) * I + 8 Remove parenthesis around (-5y) -2 + -25i + 5x = -5y * I + 8 Multiply y * I -2 + -25i + 5x = -5yI + 8 Reorder the terms: -2 + -25i + 5x = 8 + -5yI Solving -2 + -25i + 5x = 8 + -5yI Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -25i + 2 + 5x = 8 + 2 + -5yI Reorder the terms: -2 + 2 + -25i + 5x = 8 + 2 + -5yI Combine like terms: -2 + 2 = 0 0 + -25i + 5x = 8 + 2 + -5yI -25i + 5x = 8 + 2 + -5yI Combine like terms: 8 + 2 = 10 -25i + 5x = 10 + -5yI Add '-5x' to each side of the equation. -25i + 5x + -5x = 10 + -5x + -5yI Combine like terms: 5x + -5x = 0 -25i + 0 = 10 + -5x + -5yI -25i = 10 + -5x + -5yI Divide each side by '-25'. i = -0.4 + 0.2x + 0.2yI Simplifying i = -0.4 + 0.2x + 0.2yI
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