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Simplifying 1 + 2(d + 1) = 3 + 5(d + 5) Reorder the terms: 1 + 2(1 + d) = 3 + 5(d + 5) 1 + (1 * 2 + d * 2) = 3 + 5(d + 5) 1 + (2 + 2d) = 3 + 5(d + 5) Combine like terms: 1 + 2 = 3 3 + 2d = 3 + 5(d + 5) Reorder the terms: 3 + 2d = 3 + 5(5 + d) 3 + 2d = 3 + (5 * 5 + d * 5) 3 + 2d = 3 + (25 + 5d) Combine like terms: 3 + 25 = 28 3 + 2d = 28 + 5d Solving 3 + 2d = 28 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 3 + 2d + -5d = 28 + 5d + -5d Combine like terms: 2d + -5d = -3d 3 + -3d = 28 + 5d + -5d Combine like terms: 5d + -5d = 0 3 + -3d = 28 + 0 3 + -3d = 28 Add '-3' to each side of the equation. 3 + -3 + -3d = 28 + -3 Combine like terms: 3 + -3 = 0 0 + -3d = 28 + -3 -3d = 28 + -3 Combine like terms: 28 + -3 = 25 -3d = 25 Divide each side by '-3'. d = -8.333333333 Simplifying d = -8.333333333
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