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Simplifying 5d + -17 = 2(d + 5) Reorder the terms: -17 + 5d = 2(d + 5) Reorder the terms: -17 + 5d = 2(5 + d) -17 + 5d = (5 * 2 + d * 2) -17 + 5d = (10 + 2d) Solving -17 + 5d = 10 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -17 + 5d + -2d = 10 + 2d + -2d Combine like terms: 5d + -2d = 3d -17 + 3d = 10 + 2d + -2d Combine like terms: 2d + -2d = 0 -17 + 3d = 10 + 0 -17 + 3d = 10 Add '17' to each side of the equation. -17 + 17 + 3d = 10 + 17 Combine like terms: -17 + 17 = 0 0 + 3d = 10 + 17 3d = 10 + 17 Combine like terms: 10 + 17 = 27 3d = 27 Divide each side by '3'. d = 9 Simplifying d = 9
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