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Simplifying 31 = 8(5d + -7) Reorder the terms: 31 = 8(-7 + 5d) 31 = (-7 * 8 + 5d * 8) 31 = (-56 + 40d) Solving 31 = -56 + 40d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-40d' to each side of the equation. 31 + -40d = -56 + 40d + -40d Combine like terms: 40d + -40d = 0 31 + -40d = -56 + 0 31 + -40d = -56 Add '-31' to each side of the equation. 31 + -31 + -40d = -56 + -31 Combine like terms: 31 + -31 = 0 0 + -40d = -56 + -31 -40d = -56 + -31 Combine like terms: -56 + -31 = -87 -40d = -87 Divide each side by '-40'. d = 2.175 Simplifying d = 2.175
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