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Simplifying 7d + 7 = 5d + 19 Reorder the terms: 7 + 7d = 5d + 19 Reorder the terms: 7 + 7d = 19 + 5d Solving 7 + 7d = 19 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 7 + 7d + -5d = 19 + 5d + -5d Combine like terms: 7d + -5d = 2d 7 + 2d = 19 + 5d + -5d Combine like terms: 5d + -5d = 0 7 + 2d = 19 + 0 7 + 2d = 19 Add '-7' to each side of the equation. 7 + -7 + 2d = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 19 + -7 2d = 19 + -7 Combine like terms: 19 + -7 = 12 2d = 12 Divide each side by '2'. d = 6 Simplifying d = 6
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