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Simplifying 1f + 1u + 1c + 1k = 1f + 1u + 1c + 5 Reorder the terms: 1c + 1f + 1k + 1u = 1f + 1u + 1c + 5 Reorder the terms: 1c + 1f + 1k + 1u = 5 + 1c + 1f + 1u Add '-1c' to each side of the equation. 1c + 1f + 1k + -1c + 1u = 5 + 1c + 1f + -1c + 1u Reorder the terms: 1c + -1c + 1f + 1k + 1u = 5 + 1c + 1f + -1c + 1u Combine like terms: 1c + -1c = 0 0 + 1f + 1k + 1u = 5 + 1c + 1f + -1c + 1u 1f + 1k + 1u = 5 + 1c + 1f + -1c + 1u Reorder the terms: 1f + 1k + 1u = 5 + 1c + -1c + 1f + 1u Combine like terms: 1c + -1c = 0 1f + 1k + 1u = 5 + 0 + 1f + 1u 1f + 1k + 1u = 5 + 1f + 1u Add '-1f' to each side of the equation. 1f + 1k + -1f + 1u = 5 + 1f + -1f + 1u Reorder the terms: 1f + -1f + 1k + 1u = 5 + 1f + -1f + 1u Combine like terms: 1f + -1f = 0 0 + 1k + 1u = 5 + 1f + -1f + 1u 1k + 1u = 5 + 1f + -1f + 1u Combine like terms: 1f + -1f = 0 1k + 1u = 5 + 0 + 1u 1k + 1u = 5 + 1u Add '-1u' to each side of the equation. 1k + 1u + -1u = 5 + 1u + -1u Combine like terms: 1u + -1u = 0 1k + 0 = 5 + 1u + -1u 1k = 5 + 1u + -1u Combine like terms: 1u + -1u = 0 1k = 5 + 0 1k = 5 Solving 1k = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '1'. k = 5 Simplifying k = 5
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