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Simplifying 17 + 14 + 19d = 12d + -18 Combine like terms: 17 + 14 = 31 31 + 19d = 12d + -18 Reorder the terms: 31 + 19d = -18 + 12d Solving 31 + 19d = -18 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 31 + 19d + -12d = -18 + 12d + -12d Combine like terms: 19d + -12d = 7d 31 + 7d = -18 + 12d + -12d Combine like terms: 12d + -12d = 0 31 + 7d = -18 + 0 31 + 7d = -18 Add '-31' to each side of the equation. 31 + -31 + 7d = -18 + -31 Combine like terms: 31 + -31 = 0 0 + 7d = -18 + -31 7d = -18 + -31 Combine like terms: -18 + -31 = -49 7d = -49 Divide each side by '7'. d = -7 Simplifying d = -7
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