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Simplifying 10d + -8 = 3d + -17 + -2d Reorder the terms: -8 + 10d = 3d + -17 + -2d Reorder the terms: -8 + 10d = -17 + 3d + -2d Combine like terms: 3d + -2d = 1d -8 + 10d = -17 + 1d Solving -8 + 10d = -17 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -8 + 10d + -1d = -17 + 1d + -1d Combine like terms: 10d + -1d = 9d -8 + 9d = -17 + 1d + -1d Combine like terms: 1d + -1d = 0 -8 + 9d = -17 + 0 -8 + 9d = -17 Add '8' to each side of the equation. -8 + 8 + 9d = -17 + 8 Combine like terms: -8 + 8 = 0 0 + 9d = -17 + 8 9d = -17 + 8 Combine like terms: -17 + 8 = -9 9d = -9 Divide each side by '9'. d = -1 Simplifying d = -1
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