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Simplifying 6d + 49 = 18d + -71 Reorder the terms: 49 + 6d = 18d + -71 Reorder the terms: 49 + 6d = -71 + 18d Solving 49 + 6d = -71 + 18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18d' to each side of the equation. 49 + 6d + -18d = -71 + 18d + -18d Combine like terms: 6d + -18d = -12d 49 + -12d = -71 + 18d + -18d Combine like terms: 18d + -18d = 0 49 + -12d = -71 + 0 49 + -12d = -71 Add '-49' to each side of the equation. 49 + -49 + -12d = -71 + -49 Combine like terms: 49 + -49 = 0 0 + -12d = -71 + -49 -12d = -71 + -49 Combine like terms: -71 + -49 = -120 -12d = -120 Divide each side by '-12'. d = 10 Simplifying d = 10
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