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Simplifying 13d + 3 = 5d + 35 Reorder the terms: 3 + 13d = 5d + 35 Reorder the terms: 3 + 13d = 35 + 5d Solving 3 + 13d = 35 + 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. 3 + 13d + -5d = 35 + 5d + -5d Combine like terms: 13d + -5d = 8d 3 + 8d = 35 + 5d + -5d Combine like terms: 5d + -5d = 0 3 + 8d = 35 + 0 3 + 8d = 35 Add '-3' to each side of the equation. 3 + -3 + 8d = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 8d = 35 + -3 8d = 35 + -3 Combine like terms: 35 + -3 = 32 8d = 32 Divide each side by '8'. d = 4 Simplifying d = 4
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