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Simplifying 8(x + d) = 3(y + -1d) Reorder the terms: 8(d + x) = 3(y + -1d) (d * 8 + x * 8) = 3(y + -1d) (8d + 8x) = 3(y + -1d) Reorder the terms: 8d + 8x = 3(-1d + y) 8d + 8x = (-1d * 3 + y * 3) 8d + 8x = (-3d + 3y) Solving 8d + 8x = -3d + 3y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. 8d + 3d + 8x = -3d + 3d + 3y Combine like terms: 8d + 3d = 11d 11d + 8x = -3d + 3d + 3y Combine like terms: -3d + 3d = 0 11d + 8x = 0 + 3y 11d + 8x = 3y Add '-8x' to each side of the equation. 11d + 8x + -8x = -8x + 3y Combine like terms: 8x + -8x = 0 11d + 0 = -8x + 3y 11d = -8x + 3y Divide each side by '11'. d = -0.7272727273x + 0.2727272727y Simplifying d = -0.7272727273x + 0.2727272727y
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