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Simplifying 18d + 18 + 20 = 2(15d + -17) Reorder the terms: 18 + 20 + 18d = 2(15d + -17) Combine like terms: 18 + 20 = 38 38 + 18d = 2(15d + -17) Reorder the terms: 38 + 18d = 2(-17 + 15d) 38 + 18d = (-17 * 2 + 15d * 2) 38 + 18d = (-34 + 30d) Solving 38 + 18d = -34 + 30d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30d' to each side of the equation. 38 + 18d + -30d = -34 + 30d + -30d Combine like terms: 18d + -30d = -12d 38 + -12d = -34 + 30d + -30d Combine like terms: 30d + -30d = 0 38 + -12d = -34 + 0 38 + -12d = -34 Add '-38' to each side of the equation. 38 + -38 + -12d = -34 + -38 Combine like terms: 38 + -38 = 0 0 + -12d = -34 + -38 -12d = -34 + -38 Combine like terms: -34 + -38 = -72 -12d = -72 Divide each side by '-12'. d = 6 Simplifying d = 6
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