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Simplifying 13d + 3 = 4d + 66 Reorder the terms: 3 + 13d = 4d + 66 Reorder the terms: 3 + 13d = 66 + 4d Solving 3 + 13d = 66 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 3 + 13d + -4d = 66 + 4d + -4d Combine like terms: 13d + -4d = 9d 3 + 9d = 66 + 4d + -4d Combine like terms: 4d + -4d = 0 3 + 9d = 66 + 0 3 + 9d = 66 Add '-3' to each side of the equation. 3 + -3 + 9d = 66 + -3 Combine like terms: 3 + -3 = 0 0 + 9d = 66 + -3 9d = 66 + -3 Combine like terms: 66 + -3 = 63 9d = 63 Divide each side by '9'. d = 7 Simplifying d = 7
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