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Simplifying 7d + 13 = 35 + -4d Reorder the terms: 13 + 7d = 35 + -4d Solving 13 + 7d = 35 + -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. 13 + 7d + 4d = 35 + -4d + 4d Combine like terms: 7d + 4d = 11d 13 + 11d = 35 + -4d + 4d Combine like terms: -4d + 4d = 0 13 + 11d = 35 + 0 13 + 11d = 35 Add '-13' to each side of the equation. 13 + -13 + 11d = 35 + -13 Combine like terms: 13 + -13 = 0 0 + 11d = 35 + -13 11d = 35 + -13 Combine like terms: 35 + -13 = 22 11d = 22 Divide each side by '11'. d = 2 Simplifying d = 2
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