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Simplifying 13d + 2 = 7d + 50 Reorder the terms: 2 + 13d = 7d + 50 Reorder the terms: 2 + 13d = 50 + 7d Solving 2 + 13d = 50 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 2 + 13d + -7d = 50 + 7d + -7d Combine like terms: 13d + -7d = 6d 2 + 6d = 50 + 7d + -7d Combine like terms: 7d + -7d = 0 2 + 6d = 50 + 0 2 + 6d = 50 Add '-2' to each side of the equation. 2 + -2 + 6d = 50 + -2 Combine like terms: 2 + -2 = 0 0 + 6d = 50 + -2 6d = 50 + -2 Combine like terms: 50 + -2 = 48 6d = 48 Divide each side by '6'. d = 8 Simplifying d = 8
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