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Simplifying 2d + 4(1 + -1d) + 3d = 4 + -3d + 5 2d + (1 * 4 + -1d * 4) + 3d = 4 + -3d + 5 2d + (4 + -4d) + 3d = 4 + -3d + 5 Reorder the terms: 4 + 2d + -4d + 3d = 4 + -3d + 5 Combine like terms: 2d + -4d = -2d 4 + -2d + 3d = 4 + -3d + 5 Combine like terms: -2d + 3d = 1d 4 + 1d = 4 + -3d + 5 Reorder the terms: 4 + 1d = 4 + 5 + -3d Combine like terms: 4 + 5 = 9 4 + 1d = 9 + -3d Solving 4 + 1d = 9 + -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. 4 + 1d + 3d = 9 + -3d + 3d Combine like terms: 1d + 3d = 4d 4 + 4d = 9 + -3d + 3d Combine like terms: -3d + 3d = 0 4 + 4d = 9 + 0 4 + 4d = 9 Add '-4' to each side of the equation. 4 + -4 + 4d = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 4d = 9 + -4 4d = 9 + -4 Combine like terms: 9 + -4 = 5 4d = 5 Divide each side by '4'. d = 1.25 Simplifying d = 1.25
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