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Simplifying 2(3d + 7) = 5 + 5d Reorder the terms: 2(7 + 3d) = 5 + 5d (7 * 2 + 3d * 2) = 5 + 5d (14 + 6d) = 5 + 5d Solving 14 + 6d = 5 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 14 + 6d + -5d = 5 + 5d + -5d Combine like terms: 6d + -5d = 1d 14 + 1d = 5 + 5d + -5d Combine like terms: 5d + -5d = 0 14 + 1d = 5 + 0 14 + 1d = 5 Add '-14' to each side of the equation. 14 + -14 + 1d = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 1d = 5 + -14 1d = 5 + -14 Combine like terms: 5 + -14 = -9 1d = -9 Divide each side by '1'. d = -9 Simplifying d = -9
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