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Simplifying -1k + -1(-6k) + 7 + 2k + -10 = 0 Remove parenthesis around (-6k) -1k + -1 * -6k + 7 + 2k + -10 = 0 Multiply -1 * -6 -1k + 6k + 7 + 2k + -10 = 0 Reorder the terms: 7 + -10 + -1k + 6k + 2k = 0 Combine like terms: 7 + -10 = -3 -3 + -1k + 6k + 2k = 0 Combine like terms: -1k + 6k = 5k -3 + 5k + 2k = 0 Combine like terms: 5k + 2k = 7k -3 + 7k = 0 Solving -3 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7k = 0 + 3 7k = 0 + 3 Combine like terms: 0 + 3 = 3 7k = 3 Divide each side by '7'. k = 0.4285714286 Simplifying k = 0.4285714286
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