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Simplifying 9(d + 4) + -8 = 5d Reorder the terms: 9(4 + d) + -8 = 5d (4 * 9 + d * 9) + -8 = 5d (36 + 9d) + -8 = 5d Reorder the terms: 36 + -8 + 9d = 5d Combine like terms: 36 + -8 = 28 28 + 9d = 5d Solving 28 + 9d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 28 + 9d + -5d = 5d + -5d Combine like terms: 9d + -5d = 4d 28 + 4d = 5d + -5d Combine like terms: 5d + -5d = 0 28 + 4d = 0 Add '-28' to each side of the equation. 28 + -28 + 4d = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4d = 0 + -28 4d = 0 + -28 Combine like terms: 0 + -28 = -28 4d = -28 Divide each side by '4'. d = -7 Simplifying d = -7
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