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Simplifying 5d + 2(2 + -1d) = 3(1 + -1d) + 1 5d + (2 * 2 + -1d * 2) = 3(1 + -1d) + 1 5d + (4 + -2d) = 3(1 + -1d) + 1 Reorder the terms: 4 + 5d + -2d = 3(1 + -1d) + 1 Combine like terms: 5d + -2d = 3d 4 + 3d = 3(1 + -1d) + 1 4 + 3d = (1 * 3 + -1d * 3) + 1 4 + 3d = (3 + -3d) + 1 Reorder the terms: 4 + 3d = 3 + 1 + -3d Combine like terms: 3 + 1 = 4 4 + 3d = 4 + -3d Add '-4' to each side of the equation. 4 + -4 + 3d = 4 + -4 + -3d Combine like terms: 4 + -4 = 0 0 + 3d = 4 + -4 + -3d 3d = 4 + -4 + -3d Combine like terms: 4 + -4 = 0 3d = 0 + -3d 3d = -3d Solving 3d = -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. 3d + 3d = -3d + 3d Combine like terms: 3d + 3d = 6d 6d = -3d + 3d Combine like terms: -3d + 3d = 0 6d = 0 Divide each side by '6'. d = 0 Simplifying d = 0
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