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Simplifying 14d + 6 = 8d + 36 Reorder the terms: 6 + 14d = 8d + 36 Reorder the terms: 6 + 14d = 36 + 8d Solving 6 + 14d = 36 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 6 + 14d + -8d = 36 + 8d + -8d Combine like terms: 14d + -8d = 6d 6 + 6d = 36 + 8d + -8d Combine like terms: 8d + -8d = 0 6 + 6d = 36 + 0 6 + 6d = 36 Add '-6' to each side of the equation. 6 + -6 + 6d = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 6d = 36 + -6 6d = 36 + -6 Combine like terms: 36 + -6 = 30 6d = 30 Divide each side by '6'. d = 5 Simplifying d = 5
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