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Simplifying k + 3d = 4c + -6d Reorder the terms: 3d + k = 4c + -6d Solving 3d + k = 4c + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 3d + 6d + k = 4c + -6d + 6d Combine like terms: 3d + 6d = 9d 9d + k = 4c + -6d + 6d Combine like terms: -6d + 6d = 0 9d + k = 4c + 0 9d + k = 4c Add '-1k' to each side of the equation. 9d + k + -1k = 4c + -1k Combine like terms: k + -1k = 0 9d + 0 = 4c + -1k 9d = 4c + -1k Divide each side by '9'. d = 0.4444444444c + -0.1111111111k Simplifying d = 0.4444444444c + -0.1111111111k
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