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Simplifying 8d + -4d + 6d + 9 = 6d Reorder the terms: 9 + 8d + -4d + 6d = 6d Combine like terms: 8d + -4d = 4d 9 + 4d + 6d = 6d Combine like terms: 4d + 6d = 10d 9 + 10d = 6d Solving 9 + 10d = 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 9 + 10d + -6d = 6d + -6d Combine like terms: 10d + -6d = 4d 9 + 4d = 6d + -6d Combine like terms: 6d + -6d = 0 9 + 4d = 0 Add '-9' to each side of the equation. 9 + -9 + 4d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4d = 0 + -9 4d = 0 + -9 Combine like terms: 0 + -9 = -9 4d = -9 Divide each side by '4'. d = -2.25 Simplifying d = -2.25
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