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Simplifying 14k + 55 = 23k + -8 Reorder the terms: 55 + 14k = 23k + -8 Reorder the terms: 55 + 14k = -8 + 23k Solving 55 + 14k = -8 + 23k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23k' to each side of the equation. 55 + 14k + -23k = -8 + 23k + -23k Combine like terms: 14k + -23k = -9k 55 + -9k = -8 + 23k + -23k Combine like terms: 23k + -23k = 0 55 + -9k = -8 + 0 55 + -9k = -8 Add '-55' to each side of the equation. 55 + -55 + -9k = -8 + -55 Combine like terms: 55 + -55 = 0 0 + -9k = -8 + -55 -9k = -8 + -55 Combine like terms: -8 + -55 = -63 -9k = -63 Divide each side by '-9'. k = 7 Simplifying k = 7
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