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Simplifying 3d + 17 + -5d = 12 + -1(6d + 3) Reorder the terms: 17 + 3d + -5d = 12 + -1(6d + 3) Combine like terms: 3d + -5d = -2d 17 + -2d = 12 + -1(6d + 3) Reorder the terms: 17 + -2d = 12 + -1(3 + 6d) 17 + -2d = 12 + (3 * -1 + 6d * -1) 17 + -2d = 12 + (-3 + -6d) Combine like terms: 12 + -3 = 9 17 + -2d = 9 + -6d Solving 17 + -2d = 9 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 17 + -2d + 6d = 9 + -6d + 6d Combine like terms: -2d + 6d = 4d 17 + 4d = 9 + -6d + 6d Combine like terms: -6d + 6d = 0 17 + 4d = 9 + 0 17 + 4d = 9 Add '-17' to each side of the equation. 17 + -17 + 4d = 9 + -17 Combine like terms: 17 + -17 = 0 0 + 4d = 9 + -17 4d = 9 + -17 Combine like terms: 9 + -17 = -8 4d = -8 Divide each side by '4'. d = -2 Simplifying d = -2
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