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Simplifying 3x + 5y + 16d = 6y + -8d + 5x Reorder the terms: 16d + 3x + 5y = 6y + -8d + 5x Reorder the terms: 16d + 3x + 5y = -8d + 5x + 6y Solving 16d + 3x + 5y = -8d + 5x + 6y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. 16d + 3x + 8d + 5y = -8d + 5x + 8d + 6y Reorder the terms: 16d + 8d + 3x + 5y = -8d + 5x + 8d + 6y Combine like terms: 16d + 8d = 24d 24d + 3x + 5y = -8d + 5x + 8d + 6y Reorder the terms: 24d + 3x + 5y = -8d + 8d + 5x + 6y Combine like terms: -8d + 8d = 0 24d + 3x + 5y = 0 + 5x + 6y 24d + 3x + 5y = 5x + 6y Add '-3x' to each side of the equation. 24d + 3x + -3x + 5y = 5x + -3x + 6y Combine like terms: 3x + -3x = 0 24d + 0 + 5y = 5x + -3x + 6y 24d + 5y = 5x + -3x + 6y Combine like terms: 5x + -3x = 2x 24d + 5y = 2x + 6y Add '-5y' to each side of the equation. 24d + 5y + -5y = 2x + 6y + -5y Combine like terms: 5y + -5y = 0 24d + 0 = 2x + 6y + -5y 24d = 2x + 6y + -5y Combine like terms: 6y + -5y = 1y 24d = 2x + 1y Divide each side by '24'. d = 0.08333333333x + 0.04166666667y Simplifying d = 0.08333333333x + 0.04166666667y
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