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Simplifying 4d + 2(4d + 7) = -106 Reorder the terms: 4d + 2(7 + 4d) = -106 4d + (7 * 2 + 4d * 2) = -106 4d + (14 + 8d) = -106 Reorder the terms: 14 + 4d + 8d = -106 Combine like terms: 4d + 8d = 12d 14 + 12d = -106 Solving 14 + 12d = -106 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12d = -106 + -14 Combine like terms: 14 + -14 = 0 0 + 12d = -106 + -14 12d = -106 + -14 Combine like terms: -106 + -14 = -120 12d = -120 Divide each side by '12'. d = -10 Simplifying d = -10
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