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Simplifying 2(4d + 1) = 42 Reorder the terms: 2(1 + 4d) = 42 (1 * 2 + 4d * 2) = 42 (2 + 8d) = 42 Solving 2 + 8d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8d = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 8d = 42 + -2 8d = 42 + -2 Combine like terms: 42 + -2 = 40 8d = 40 Divide each side by '8'. d = 5 Simplifying d = 5
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