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Simplifying 35(12 + d) = 2170 (12 * 35 + d * 35) = 2170 (420 + 35d) = 2170 Solving 420 + 35d = 2170 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + -420 + 35d = 2170 + -420 Combine like terms: 420 + -420 = 0 0 + 35d = 2170 + -420 35d = 2170 + -420 Combine like terms: 2170 + -420 = 1750 35d = 1750 Divide each side by '35'. d = 50 Simplifying d = 50
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