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Simplifying 7d + 7 = 2d + 17 Reorder the terms: 7 + 7d = 2d + 17 Reorder the terms: 7 + 7d = 17 + 2d Solving 7 + 7d = 17 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 7 + 7d + -2d = 17 + 2d + -2d Combine like terms: 7d + -2d = 5d 7 + 5d = 17 + 2d + -2d Combine like terms: 2d + -2d = 0 7 + 5d = 17 + 0 7 + 5d = 17 Add '-7' to each side of the equation. 7 + -7 + 5d = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 5d = 17 + -7 5d = 17 + -7 Combine like terms: 17 + -7 = 10 5d = 10 Divide each side by '5'. d = 2 Simplifying d = 2
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