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Simplifying -7k + 9 = 9k + 5 + -14k Reorder the terms: 9 + -7k = 9k + 5 + -14k Reorder the terms: 9 + -7k = 5 + 9k + -14k Combine like terms: 9k + -14k = -5k 9 + -7k = 5 + -5k Solving 9 + -7k = 5 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 9 + -7k + 5k = 5 + -5k + 5k Combine like terms: -7k + 5k = -2k 9 + -2k = 5 + -5k + 5k Combine like terms: -5k + 5k = 0 9 + -2k = 5 + 0 9 + -2k = 5 Add '-9' to each side of the equation. 9 + -9 + -2k = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -2k = 5 + -9 -2k = 5 + -9 Combine like terms: 5 + -9 = -4 -2k = -4 Divide each side by '-2'. k = 2 Simplifying k = 2
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