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Simplifying 2(6 + -4d) = 2s + -9d (6 * 2 + -4d * 2) = 2s + -9d (12 + -8d) = 2s + -9d Reorder the terms: 12 + -8d = -9d + 2s Solving 12 + -8d = -9d + 2s Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. 12 + -8d + 9d = -9d + 9d + 2s Combine like terms: -8d + 9d = 1d 12 + 1d = -9d + 9d + 2s Combine like terms: -9d + 9d = 0 12 + 1d = 0 + 2s 12 + 1d = 2s Add '-12' to each side of the equation. 12 + -12 + 1d = -12 + 2s Combine like terms: 12 + -12 = 0 0 + 1d = -12 + 2s 1d = -12 + 2s Divide each side by '1'. d = -12 + 2s Simplifying d = -12 + 2s
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