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Simplifying 4x + 5d + 4y = 2x + 2d + 6y Reorder the terms: 5d + 4x + 4y = 2x + 2d + 6y Reorder the terms: 5d + 4x + 4y = 2d + 2x + 6y Solving 5d + 4x + 4y = 2d + 2x + 6y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 5d + 4x + -2d + 4y = 2d + 2x + -2d + 6y Reorder the terms: 5d + -2d + 4x + 4y = 2d + 2x + -2d + 6y Combine like terms: 5d + -2d = 3d 3d + 4x + 4y = 2d + 2x + -2d + 6y Reorder the terms: 3d + 4x + 4y = 2d + -2d + 2x + 6y Combine like terms: 2d + -2d = 0 3d + 4x + 4y = 0 + 2x + 6y 3d + 4x + 4y = 2x + 6y Add '-4x' to each side of the equation. 3d + 4x + -4x + 4y = 2x + -4x + 6y Combine like terms: 4x + -4x = 0 3d + 0 + 4y = 2x + -4x + 6y 3d + 4y = 2x + -4x + 6y Combine like terms: 2x + -4x = -2x 3d + 4y = -2x + 6y Add '-4y' to each side of the equation. 3d + 4y + -4y = -2x + 6y + -4y Combine like terms: 4y + -4y = 0 3d + 0 = -2x + 6y + -4y 3d = -2x + 6y + -4y Combine like terms: 6y + -4y = 2y 3d = -2x + 2y Divide each side by '3'. d = -0.6666666667x + 0.6666666667y Simplifying d = -0.6666666667x + 0.6666666667y
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