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Simplifying d + 4(d + 3) + 2(d + 5) = 57 Reorder the terms: d + 4(3 + d) + 2(d + 5) = 57 d + (3 * 4 + d * 4) + 2(d + 5) = 57 d + (12 + 4d) + 2(d + 5) = 57 Reorder the terms: d + 12 + 4d + 2(5 + d) = 57 d + 12 + 4d + (5 * 2 + d * 2) = 57 d + 12 + 4d + (10 + 2d) = 57 Reorder the terms: 12 + 10 + d + 4d + 2d = 57 Combine like terms: 12 + 10 = 22 22 + d + 4d + 2d = 57 Combine like terms: d + 4d = 5d 22 + 5d + 2d = 57 Combine like terms: 5d + 2d = 7d 22 + 7d = 57 Solving 22 + 7d = 57 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 7d = 57 + -22 Combine like terms: 22 + -22 = 0 0 + 7d = 57 + -22 7d = 57 + -22 Combine like terms: 57 + -22 = 35 7d = 35 Divide each side by '7'. d = 5 Simplifying d = 5
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