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Simplifying 3(d + 1) + -2 = 8 + -5(d + 7) Reorder the terms: 3(1 + d) + -2 = 8 + -5(d + 7) (1 * 3 + d * 3) + -2 = 8 + -5(d + 7) (3 + 3d) + -2 = 8 + -5(d + 7) Reorder the terms: 3 + -2 + 3d = 8 + -5(d + 7) Combine like terms: 3 + -2 = 1 1 + 3d = 8 + -5(d + 7) Reorder the terms: 1 + 3d = 8 + -5(7 + d) 1 + 3d = 8 + (7 * -5 + d * -5) 1 + 3d = 8 + (-35 + -5d) Combine like terms: 8 + -35 = -27 1 + 3d = -27 + -5d Solving 1 + 3d = -27 + -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. 1 + 3d + 5d = -27 + -5d + 5d Combine like terms: 3d + 5d = 8d 1 + 8d = -27 + -5d + 5d Combine like terms: -5d + 5d = 0 1 + 8d = -27 + 0 1 + 8d = -27 Add '-1' to each side of the equation. 1 + -1 + 8d = -27 + -1 Combine like terms: 1 + -1 = 0 0 + 8d = -27 + -1 8d = -27 + -1 Combine like terms: -27 + -1 = -28 8d = -28 Divide each side by '8'. d = -3.5 Simplifying d = -3.5
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