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Simplifying 4(5d + 8) = -28 + 9d Reorder the terms: 4(8 + 5d) = -28 + 9d (8 * 4 + 5d * 4) = -28 + 9d (32 + 20d) = -28 + 9d Solving 32 + 20d = -28 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 32 + 20d + -9d = -28 + 9d + -9d Combine like terms: 20d + -9d = 11d 32 + 11d = -28 + 9d + -9d Combine like terms: 9d + -9d = 0 32 + 11d = -28 + 0 32 + 11d = -28 Add '-32' to each side of the equation. 32 + -32 + 11d = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 11d = -28 + -32 11d = -28 + -32 Combine like terms: -28 + -32 = -60 11d = -60 Divide each side by '11'. d = -5.454545455 Simplifying d = -5.454545455
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