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Simplifying d + -2(8 + -1d) = -31 d + (8 * -2 + -1d * -2) = -31 d + (-16 + 2d) = -31 Reorder the terms: -16 + d + 2d = -31 Combine like terms: d + 2d = 3d -16 + 3d = -31 Solving -16 + 3d = -31 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 3d = -31 + 16 Combine like terms: -16 + 16 = 0 0 + 3d = -31 + 16 3d = -31 + 16 Combine like terms: -31 + 16 = -15 3d = -15 Divide each side by '3'. d = -5 Simplifying d = -5
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