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Simplifying 8(7d + 10) + 14 = d + 16 + 16d Reorder the terms: 8(10 + 7d) + 14 = d + 16 + 16d (10 * 8 + 7d * 8) + 14 = d + 16 + 16d (80 + 56d) + 14 = d + 16 + 16d Reorder the terms: 80 + 14 + 56d = d + 16 + 16d Combine like terms: 80 + 14 = 94 94 + 56d = d + 16 + 16d Reorder the terms: 94 + 56d = 16 + d + 16d Combine like terms: d + 16d = 17d 94 + 56d = 16 + 17d Solving 94 + 56d = 16 + 17d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-17d' to each side of the equation. 94 + 56d + -17d = 16 + 17d + -17d Combine like terms: 56d + -17d = 39d 94 + 39d = 16 + 17d + -17d Combine like terms: 17d + -17d = 0 94 + 39d = 16 + 0 94 + 39d = 16 Add '-94' to each side of the equation. 94 + -94 + 39d = 16 + -94 Combine like terms: 94 + -94 = 0 0 + 39d = 16 + -94 39d = 16 + -94 Combine like terms: 16 + -94 = -78 39d = -78 Divide each side by '39'. d = -2 Simplifying d = -2
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