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Simplifying 17 = 2(3d + 1) + -1d Reorder the terms: 17 = 2(1 + 3d) + -1d 17 = (1 * 2 + 3d * 2) + -1d 17 = (2 + 6d) + -1d Combine like terms: 6d + -1d = 5d 17 = 2 + 5d Solving 17 = 2 + 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. 17 + -5d = 2 + 5d + -5d Combine like terms: 5d + -5d = 0 17 + -5d = 2 + 0 17 + -5d = 2 Add '-17' to each side of the equation. 17 + -17 + -5d = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -5d = 2 + -17 -5d = 2 + -17 Combine like terms: 2 + -17 = -15 -5d = -15 Divide each side by '-5'. d = 3 Simplifying d = 3
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