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Simplifying 8d + 2d + 3d + -5 = 3d Reorder the terms: -5 + 8d + 2d + 3d = 3d Combine like terms: 8d + 2d = 10d -5 + 10d + 3d = 3d Combine like terms: 10d + 3d = 13d -5 + 13d = 3d Solving -5 + 13d = 3d 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. -5 + 13d + -3d = 3d + -3d Combine like terms: 13d + -3d = 10d -5 + 10d = 3d + -3d Combine like terms: 3d + -3d = 0 -5 + 10d = 0 Add '5' to each side of the equation. -5 + 5 + 10d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10d = 0 + 5 10d = 0 + 5 Combine like terms: 0 + 5 = 5 10d = 5 Divide each side by '10'. d = 0.5 Simplifying d = 0.5
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