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Simplifying 8d + -1(6 + -9d) = 42 8d + (6 * -1 + -9d * -1) = 42 8d + (-6 + 9d) = 42 Reorder the terms: -6 + 8d + 9d = 42 Combine like terms: 8d + 9d = 17d -6 + 17d = 42 Solving -6 + 17d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 17d = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 17d = 42 + 6 17d = 42 + 6 Combine like terms: 42 + 6 = 48 17d = 48 Divide each side by '17'. d = 2.823529412 Simplifying d = 2.823529412
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