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Simplifying 14k + 55 = 11k + 84 Reorder the terms: 55 + 14k = 11k + 84 Reorder the terms: 55 + 14k = 84 + 11k Solving 55 + 14k = 84 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 55 + 14k + -11k = 84 + 11k + -11k Combine like terms: 14k + -11k = 3k 55 + 3k = 84 + 11k + -11k Combine like terms: 11k + -11k = 0 55 + 3k = 84 + 0 55 + 3k = 84 Add '-55' to each side of the equation. 55 + -55 + 3k = 84 + -55 Combine like terms: 55 + -55 = 0 0 + 3k = 84 + -55 3k = 84 + -55 Combine like terms: 84 + -55 = 29 3k = 29 Divide each side by '3'. k = 9.666666667 Simplifying k = 9.666666667
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