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Simplifying 5k + 4 + 2d + 2k = 0 Reorder the terms: 4 + 2d + 5k + 2k = 0 Combine like terms: 5k + 2k = 7k 4 + 2d + 7k = 0 Solving 4 + 2d + 7k = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2d + -4 + 7k = 0 + -4 Reorder the terms: 4 + -4 + 2d + 7k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2d + 7k = 0 + -4 2d + 7k = 0 + -4 Combine like terms: 0 + -4 = -4 2d + 7k = -4 Add '-7k' to each side of the equation. 2d + 7k + -7k = -4 + -7k Combine like terms: 7k + -7k = 0 2d + 0 = -4 + -7k 2d = -4 + -7k Divide each side by '2'. d = -2 + -3.5k Simplifying d = -2 + -3.5k
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