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Simplifying 6(4d + -9) = 28 + 7d Reorder the terms: 6(-9 + 4d) = 28 + 7d (-9 * 6 + 4d * 6) = 28 + 7d (-54 + 24d) = 28 + 7d Solving -54 + 24d = 28 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -54 + 24d + -7d = 28 + 7d + -7d Combine like terms: 24d + -7d = 17d -54 + 17d = 28 + 7d + -7d Combine like terms: 7d + -7d = 0 -54 + 17d = 28 + 0 -54 + 17d = 28 Add '54' to each side of the equation. -54 + 54 + 17d = 28 + 54 Combine like terms: -54 + 54 = 0 0 + 17d = 28 + 54 17d = 28 + 54 Combine like terms: 28 + 54 = 82 17d = 82 Divide each side by '17'. d = 4.823529412 Simplifying d = 4.823529412
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