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Simplifying 8 + -19d = -10 + -2d + -16 Reorder the terms: 8 + -19d = -10 + -16 + -2d Combine like terms: -10 + -16 = -26 8 + -19d = -26 + -2d Solving 8 + -19d = -26 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 8 + -19d + 2d = -26 + -2d + 2d Combine like terms: -19d + 2d = -17d 8 + -17d = -26 + -2d + 2d Combine like terms: -2d + 2d = 0 8 + -17d = -26 + 0 8 + -17d = -26 Add '-8' to each side of the equation. 8 + -8 + -17d = -26 + -8 Combine like terms: 8 + -8 = 0 0 + -17d = -26 + -8 -17d = -26 + -8 Combine like terms: -26 + -8 = -34 -17d = -34 Divide each side by '-17'. d = 2 Simplifying d = 2
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