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Simplifying -31 + 8d = 4(9d + 7) Reorder the terms: -31 + 8d = 4(7 + 9d) -31 + 8d = (7 * 4 + 9d * 4) -31 + 8d = (28 + 36d) Solving -31 + 8d = 28 + 36d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-36d' to each side of the equation. -31 + 8d + -36d = 28 + 36d + -36d Combine like terms: 8d + -36d = -28d -31 + -28d = 28 + 36d + -36d Combine like terms: 36d + -36d = 0 -31 + -28d = 28 + 0 -31 + -28d = 28 Add '31' to each side of the equation. -31 + 31 + -28d = 28 + 31 Combine like terms: -31 + 31 = 0 0 + -28d = 28 + 31 -28d = 28 + 31 Combine like terms: 28 + 31 = 59 -28d = 59 Divide each side by '-28'. d = -2.107142857 Simplifying d = -2.107142857
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