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Simplifying 14d + 20 = 2(3d + 14) Reorder the terms: 20 + 14d = 2(3d + 14) Reorder the terms: 20 + 14d = 2(14 + 3d) 20 + 14d = (14 * 2 + 3d * 2) 20 + 14d = (28 + 6d) Solving 20 + 14d = 28 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 20 + 14d + -6d = 28 + 6d + -6d Combine like terms: 14d + -6d = 8d 20 + 8d = 28 + 6d + -6d Combine like terms: 6d + -6d = 0 20 + 8d = 28 + 0 20 + 8d = 28 Add '-20' to each side of the equation. 20 + -20 + 8d = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 8d = 28 + -20 8d = 28 + -20 Combine like terms: 28 + -20 = 8 8d = 8 Divide each side by '8'. d = 1 Simplifying d = 1
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