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Simplifying 23 + -9d + -16 + 6d = 27 + -10d Reorder the terms: 23 + -16 + -9d + 6d = 27 + -10d Combine like terms: 23 + -16 = 7 7 + -9d + 6d = 27 + -10d Combine like terms: -9d + 6d = -3d 7 + -3d = 27 + -10d Solving 7 + -3d = 27 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. 7 + -3d + 10d = 27 + -10d + 10d Combine like terms: -3d + 10d = 7d 7 + 7d = 27 + -10d + 10d Combine like terms: -10d + 10d = 0 7 + 7d = 27 + 0 7 + 7d = 27 Add '-7' to each side of the equation. 7 + -7 + 7d = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 7d = 27 + -7 7d = 27 + -7 Combine like terms: 27 + -7 = 20 7d = 20 Divide each side by '7'. d = 2.857142857 Simplifying d = 2.857142857
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