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Simplifying 1 = 2(3d + 5) + (2d + 5) Reorder the terms: 1 = 2(5 + 3d) + (2d + 5) 1 = (5 * 2 + 3d * 2) + (2d + 5) 1 = (10 + 6d) + (2d + 5) Reorder the terms: 1 = 10 + 6d + (5 + 2d) Remove parenthesis around (5 + 2d) 1 = 10 + 6d + 5 + 2d Reorder the terms: 1 = 10 + 5 + 6d + 2d Combine like terms: 10 + 5 = 15 1 = 15 + 6d + 2d Combine like terms: 6d + 2d = 8d 1 = 15 + 8d Solving 1 = 15 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 1 + -8d = 15 + 8d + -8d Combine like terms: 8d + -8d = 0 1 + -8d = 15 + 0 1 + -8d = 15 Add '-1' to each side of the equation. 1 + -1 + -8d = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -8d = 15 + -1 -8d = 15 + -1 Combine like terms: 15 + -1 = 14 -8d = 14 Divide each side by '-8'. d = -1.75 Simplifying d = -1.75
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