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Simplifying 12 + 2(2d + 5) = 58 Reorder the terms: 12 + 2(5 + 2d) = 58 12 + (5 * 2 + 2d * 2) = 58 12 + (10 + 4d) = 58 Combine like terms: 12 + 10 = 22 22 + 4d = 58 Solving 22 + 4d = 58 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 + 4d = 58 + -22 Combine like terms: 22 + -22 = 0 0 + 4d = 58 + -22 4d = 58 + -22 Combine like terms: 58 + -22 = 36 4d = 36 Divide each side by '4'. d = 9 Simplifying d = 9
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