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Simplifying 6 + -6k + -1(-11) + 10k + -1(-3k) = 0 Multiply -1 * -11 6 + -6k + 11 + 10k + -1(-3k) = 0 Remove parenthesis around (-3k) 6 + -6k + 11 + 10k + -1 * -3k = 0 Multiply -1 * -3 6 + -6k + 11 + 10k + 3k = 0 Reorder the terms: 6 + 11 + -6k + 10k + 3k = 0 Combine like terms: 6 + 11 = 17 17 + -6k + 10k + 3k = 0 Combine like terms: -6k + 10k = 4k 17 + 4k + 3k = 0 Combine like terms: 4k + 3k = 7k 17 + 7k = 0 Solving 17 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7k = 0 + -17 7k = 0 + -17 Combine like terms: 0 + -17 = -17 7k = -17 Divide each side by '7'. k = -2.428571429 Simplifying k = -2.428571429
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