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Simplifying 13d + 8 = 5d + 16 Reorder the terms: 8 + 13d = 5d + 16 Reorder the terms: 8 + 13d = 16 + 5d Solving 8 + 13d = 16 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 8 + 13d + -5d = 16 + 5d + -5d Combine like terms: 13d + -5d = 8d 8 + 8d = 16 + 5d + -5d Combine like terms: 5d + -5d = 0 8 + 8d = 16 + 0 8 + 8d = 16 Add '-8' to each side of the equation. 8 + -8 + 8d = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 8d = 16 + -8 8d = 16 + -8 Combine like terms: 16 + -8 = 8 8d = 8 Divide each side by '8'. d = 1 Simplifying d = 1
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