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Simplifying 3(7d + 2) = -17 + 5d Reorder the terms: 3(2 + 7d) = -17 + 5d (2 * 3 + 7d * 3) = -17 + 5d (6 + 21d) = -17 + 5d Solving 6 + 21d = -17 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 6 + 21d + -5d = -17 + 5d + -5d Combine like terms: 21d + -5d = 16d 6 + 16d = -17 + 5d + -5d Combine like terms: 5d + -5d = 0 6 + 16d = -17 + 0 6 + 16d = -17 Add '-6' to each side of the equation. 6 + -6 + 16d = -17 + -6 Combine like terms: 6 + -6 = 0 0 + 16d = -17 + -6 16d = -17 + -6 Combine like terms: -17 + -6 = -23 16d = -23 Divide each side by '16'. d = -1.4375 Simplifying d = -1.4375
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