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Simplifying 5k + 4k + k + 8 = 48 + -2k + 27 Reorder the terms: 8 + 5k + 4k + k = 48 + -2k + 27 Combine like terms: 5k + 4k = 9k 8 + 9k + k = 48 + -2k + 27 Combine like terms: 9k + k = 10k 8 + 10k = 48 + -2k + 27 Reorder the terms: 8 + 10k = 48 + 27 + -2k Combine like terms: 48 + 27 = 75 8 + 10k = 75 + -2k Solving 8 + 10k = 75 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 8 + 10k + 2k = 75 + -2k + 2k Combine like terms: 10k + 2k = 12k 8 + 12k = 75 + -2k + 2k Combine like terms: -2k + 2k = 0 8 + 12k = 75 + 0 8 + 12k = 75 Add '-8' to each side of the equation. 8 + -8 + 12k = 75 + -8 Combine like terms: 8 + -8 = 0 0 + 12k = 75 + -8 12k = 75 + -8 Combine like terms: 75 + -8 = 67 12k = 67 Divide each side by '12'. k = 5.583333333 Simplifying k = 5.583333333
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