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Simplifying -2k + -5k + -5 = -9k + 9 Reorder the terms: -5 + -2k + -5k = -9k + 9 Combine like terms: -2k + -5k = -7k -5 + -7k = -9k + 9 Reorder the terms: -5 + -7k = 9 + -9k Solving -5 + -7k = 9 + -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. -5 + -7k + 9k = 9 + -9k + 9k Combine like terms: -7k + 9k = 2k -5 + 2k = 9 + -9k + 9k Combine like terms: -9k + 9k = 0 -5 + 2k = 9 + 0 -5 + 2k = 9 Add '5' to each side of the equation. -5 + 5 + 2k = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2k = 9 + 5 2k = 9 + 5 Combine like terms: 9 + 5 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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