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Simplifying -9(-1d + -4) + -4d = 31 Reorder the terms: -9(-4 + -1d) + -4d = 31 (-4 * -9 + -1d * -9) + -4d = 31 (36 + 9d) + -4d = 31 Combine like terms: 9d + -4d = 5d 36 + 5d = 31 Solving 36 + 5d = 31 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 5d = 31 + -36 Combine like terms: 36 + -36 = 0 0 + 5d = 31 + -36 5d = 31 + -36 Combine like terms: 31 + -36 = -5 5d = -5 Divide each side by '5'. d = -1 Simplifying d = -1
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