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Simplifying 5d + 20 = 7d + -14 Reorder the terms: 20 + 5d = 7d + -14 Reorder the terms: 20 + 5d = -14 + 7d Solving 20 + 5d = -14 + 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. 20 + 5d + -7d = -14 + 7d + -7d Combine like terms: 5d + -7d = -2d 20 + -2d = -14 + 7d + -7d Combine like terms: 7d + -7d = 0 20 + -2d = -14 + 0 20 + -2d = -14 Add '-20' to each side of the equation. 20 + -20 + -2d = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -2d = -14 + -20 -2d = -14 + -20 Combine like terms: -14 + -20 = -34 -2d = -34 Divide each side by '-2'. d = 17 Simplifying d = 17
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