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Simplifying 5x + -1x + -2x + 8 + -3d = 0 Reorder the terms: 8 + -3d + 5x + -1x + -2x = 0 Combine like terms: 5x + -1x = 4x 8 + -3d + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 8 + -3d + 2x = 0 Solving 8 + -3d + 2x = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -3d + -8 + 2x = 0 + -8 Reorder the terms: 8 + -8 + -3d + 2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3d + 2x = 0 + -8 -3d + 2x = 0 + -8 Combine like terms: 0 + -8 = -8 -3d + 2x = -8 Add '-2x' to each side of the equation. -3d + 2x + -2x = -8 + -2x Combine like terms: 2x + -2x = 0 -3d + 0 = -8 + -2x -3d = -8 + -2x Divide each side by '-3'. d = 2.666666667 + 0.6666666667x Simplifying d = 2.666666667 + 0.6666666667x
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