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Simplifying 4 + 5k = 7k + -5k + -5 Reorder the terms: 4 + 5k = -5 + 7k + -5k Combine like terms: 7k + -5k = 2k 4 + 5k = -5 + 2k Solving 4 + 5k = -5 + 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. 4 + 5k + -2k = -5 + 2k + -2k Combine like terms: 5k + -2k = 3k 4 + 3k = -5 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + 3k = -5 + 0 4 + 3k = -5 Add '-4' to each side of the equation. 4 + -4 + 3k = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = -5 + -4 3k = -5 + -4 Combine like terms: -5 + -4 = -9 3k = -9 Divide each side by '3'. k = -3 Simplifying k = -3
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