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Simplifying 31 + 8d = 5(2d + 7) Reorder the terms: 31 + 8d = 5(7 + 2d) 31 + 8d = (7 * 5 + 2d * 5) 31 + 8d = (35 + 10d) Solving 31 + 8d = 35 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 31 + 8d + -10d = 35 + 10d + -10d Combine like terms: 8d + -10d = -2d 31 + -2d = 35 + 10d + -10d Combine like terms: 10d + -10d = 0 31 + -2d = 35 + 0 31 + -2d = 35 Add '-31' to each side of the equation. 31 + -31 + -2d = 35 + -31 Combine like terms: 31 + -31 = 0 0 + -2d = 35 + -31 -2d = 35 + -31 Combine like terms: 35 + -31 = 4 -2d = 4 Divide each side by '-2'. d = -2 Simplifying d = -2
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