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Simplifying 17 + -5 + -18d = 6(-4d + 20) Combine like terms: 17 + -5 = 12 12 + -18d = 6(-4d + 20) Reorder the terms: 12 + -18d = 6(20 + -4d) 12 + -18d = (20 * 6 + -4d * 6) 12 + -18d = (120 + -24d) Solving 12 + -18d = 120 + -24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24d' to each side of the equation. 12 + -18d + 24d = 120 + -24d + 24d Combine like terms: -18d + 24d = 6d 12 + 6d = 120 + -24d + 24d Combine like terms: -24d + 24d = 0 12 + 6d = 120 + 0 12 + 6d = 120 Add '-12' to each side of the equation. 12 + -12 + 6d = 120 + -12 Combine like terms: 12 + -12 = 0 0 + 6d = 120 + -12 6d = 120 + -12 Combine like terms: 120 + -12 = 108 6d = 108 Divide each side by '6'. d = 18 Simplifying d = 18
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