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Simplifying 8(d + 2) = 58 + -6d Reorder the terms: 8(2 + d) = 58 + -6d (2 * 8 + d * 8) = 58 + -6d (16 + 8d) = 58 + -6d Solving 16 + 8d = 58 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 16 + 8d + 6d = 58 + -6d + 6d Combine like terms: 8d + 6d = 14d 16 + 14d = 58 + -6d + 6d Combine like terms: -6d + 6d = 0 16 + 14d = 58 + 0 16 + 14d = 58 Add '-16' to each side of the equation. 16 + -16 + 14d = 58 + -16 Combine like terms: 16 + -16 = 0 0 + 14d = 58 + -16 14d = 58 + -16 Combine like terms: 58 + -16 = 42 14d = 42 Divide each side by '14'. d = 3 Simplifying d = 3
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