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Simplifying 2d + -8d + 1 = 9 + -10d Reorder the terms: 1 + 2d + -8d = 9 + -10d Combine like terms: 2d + -8d = -6d 1 + -6d = 9 + -10d Solving 1 + -6d = 9 + -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. 1 + -6d + 10d = 9 + -10d + 10d Combine like terms: -6d + 10d = 4d 1 + 4d = 9 + -10d + 10d Combine like terms: -10d + 10d = 0 1 + 4d = 9 + 0 1 + 4d = 9 Add '-1' to each side of the equation. 1 + -1 + 4d = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4d = 9 + -1 4d = 9 + -1 Combine like terms: 9 + -1 = 8 4d = 8 Divide each side by '4'. d = 2 Simplifying d = 2
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