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Simplifying 13d + 1 = 5d + 9 Reorder the terms: 1 + 13d = 5d + 9 Reorder the terms: 1 + 13d = 9 + 5d Solving 1 + 13d = 9 + 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. 1 + 13d + -5d = 9 + 5d + -5d Combine like terms: 13d + -5d = 8d 1 + 8d = 9 + 5d + -5d Combine like terms: 5d + -5d = 0 1 + 8d = 9 + 0 1 + 8d = 9 Add '-1' to each side of the equation. 1 + -1 + 8d = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8d = 9 + -1 8d = 9 + -1 Combine like terms: 9 + -1 = 8 8d = 8 Divide each side by '8'. d = 1 Simplifying d = 1
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