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Simplifying 3x + -5i = 6 + -1(10y) Reorder the terms: -5i + 3x = 6 + -1(10y) Remove parenthesis around (10y) -5i + 3x = 6 + -1 * 10y Multiply -1 * 10 -5i + 3x = 6 + -10y Solving -5i + 3x = 6 + -10y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3x' to each side of the equation. -5i + 3x + -3x = 6 + -3x + -10y Combine like terms: 3x + -3x = 0 -5i + 0 = 6 + -3x + -10y -5i = 6 + -3x + -10y Divide each side by '-5'. i = -1.2 + 0.6x + 2y Simplifying i = -1.2 + 0.6x + 2y
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