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Simplifying 7d + -3d + -1d + -2d + 1 = 10 Reorder the terms: 1 + 7d + -3d + -1d + -2d = 10 Combine like terms: 7d + -3d = 4d 1 + 4d + -1d + -2d = 10 Combine like terms: 4d + -1d = 3d 1 + 3d + -2d = 10 Combine like terms: 3d + -2d = 1d 1 + 1d = 10 Solving 1 + 1d = 10 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1d = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1d = 10 + -1 1d = 10 + -1 Combine like terms: 10 + -1 = 9 1d = 9 Divide each side by '1'. d = 9 Simplifying d = 9
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