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Simplifying 2d + 9 = 8d + -6 Reorder the terms: 9 + 2d = 8d + -6 Reorder the terms: 9 + 2d = -6 + 8d Solving 9 + 2d = -6 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 9 + 2d + -8d = -6 + 8d + -8d Combine like terms: 2d + -8d = -6d 9 + -6d = -6 + 8d + -8d Combine like terms: 8d + -8d = 0 9 + -6d = -6 + 0 9 + -6d = -6 Add '-9' to each side of the equation. 9 + -9 + -6d = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -6d = -6 + -9 -6d = -6 + -9 Combine like terms: -6 + -9 = -15 -6d = -15 Divide each side by '-6'. d = 2.5 Simplifying d = 2.5
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