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Simplifying 7k + 9 + -5k + -10 = 0 Reorder the terms: 9 + -10 + 7k + -5k = 0 Combine like terms: 9 + -10 = -1 -1 + 7k + -5k = 0 Combine like terms: 7k + -5k = 2k -1 + 2k = 0 Solving -1 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2k = 0 + 1 2k = 0 + 1 Combine like terms: 0 + 1 = 1 2k = 1 Divide each side by '2'. k = 0.5 Simplifying k = 0.5
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