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Simplifying 31 = -7(6d + 9) Reorder the terms: 31 = -7(9 + 6d) 31 = (9 * -7 + 6d * -7) 31 = (-63 + -42d) Solving 31 = -63 + -42d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '42d' to each side of the equation. 31 + 42d = -63 + -42d + 42d Combine like terms: -42d + 42d = 0 31 + 42d = -63 + 0 31 + 42d = -63 Add '-31' to each side of the equation. 31 + -31 + 42d = -63 + -31 Combine like terms: 31 + -31 = 0 0 + 42d = -63 + -31 42d = -63 + -31 Combine like terms: -63 + -31 = -94 42d = -94 Divide each side by '42'. d = -2.238095238 Simplifying d = -2.238095238
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