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Simplifying 6 + -7k + 2k + -7 = 0 Reorder the terms: 6 + -7 + -7k + 2k = 0 Combine like terms: 6 + -7 = -1 -1 + -7k + 2k = 0 Combine like terms: -7k + 2k = -5k -1 + -5k = 0 Solving -1 + -5k = 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 + -5k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5k = 0 + 1 -5k = 0 + 1 Combine like terms: 0 + 1 = 1 -5k = 1 Divide each side by '-5'. k = -0.2 Simplifying k = -0.2
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