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Simplifying 5(d + 2) + 3d = 58 Reorder the terms: 5(2 + d) + 3d = 58 (2 * 5 + d * 5) + 3d = 58 (10 + 5d) + 3d = 58 Combine like terms: 5d + 3d = 8d 10 + 8d = 58 Solving 10 + 8d = 58 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 8d = 58 + -10 Combine like terms: 10 + -10 = 0 0 + 8d = 58 + -10 8d = 58 + -10 Combine like terms: 58 + -10 = 48 8d = 48 Divide each side by '8'. d = 6 Simplifying d = 6
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