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Simplifying 5(3d + 4) + 7 = 57 Reorder the terms: 5(4 + 3d) + 7 = 57 (4 * 5 + 3d * 5) + 7 = 57 (20 + 15d) + 7 = 57 Reorder the terms: 20 + 7 + 15d = 57 Combine like terms: 20 + 7 = 27 27 + 15d = 57 Solving 27 + 15d = 57 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 15d = 57 + -27 Combine like terms: 27 + -27 = 0 0 + 15d = 57 + -27 15d = 57 + -27 Combine like terms: 57 + -27 = 30 15d = 30 Divide each side by '15'. d = 2 Simplifying d = 2
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