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Simplifying -7k + 4 = -9k + 5 Reorder the terms: 4 + -7k = -9k + 5 Reorder the terms: 4 + -7k = 5 + -9k Solving 4 + -7k = 5 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 4 + -7k + 9k = 5 + -9k + 9k Combine like terms: -7k + 9k = 2k 4 + 2k = 5 + -9k + 9k Combine like terms: -9k + 9k = 0 4 + 2k = 5 + 0 4 + 2k = 5 Add '-4' to each side of the equation. 4 + -4 + 2k = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 5 + -4 2k = 5 + -4 Combine like terms: 5 + -4 = 1 2k = 1 Divide each side by '2'. k = 0.5 Simplifying k = 0.5
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