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Simplifying 2(4d + 7) = 5 + 7d Reorder the terms: 2(7 + 4d) = 5 + 7d (7 * 2 + 4d * 2) = 5 + 7d (14 + 8d) = 5 + 7d Solving 14 + 8d = 5 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 14 + 8d + -7d = 5 + 7d + -7d Combine like terms: 8d + -7d = 1d 14 + 1d = 5 + 7d + -7d Combine like terms: 7d + -7d = 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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