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Simplifying 13d + 1 = 6d + 22 Reorder the terms: 1 + 13d = 6d + 22 Reorder the terms: 1 + 13d = 22 + 6d Solving 1 + 13d = 22 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 1 + 13d + -6d = 22 + 6d + -6d Combine like terms: 13d + -6d = 7d 1 + 7d = 22 + 6d + -6d Combine like terms: 6d + -6d = 0 1 + 7d = 22 + 0 1 + 7d = 22 Add '-1' to each side of the equation. 1 + -1 + 7d = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 7d = 22 + -1 7d = 22 + -1 Combine like terms: 22 + -1 = 21 7d = 21 Divide each side by '7'. d = 3 Simplifying d = 3
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