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Simplifying 7k + -2(3k + 1) + -9 = 0 Reorder the terms: 7k + -2(1 + 3k) + -9 = 0 7k + (1 * -2 + 3k * -2) + -9 = 0 7k + (-2 + -6k) + -9 = 0 Reorder the terms: -2 + -9 + 7k + -6k = 0 Combine like terms: -2 + -9 = -11 -11 + 7k + -6k = 0 Combine like terms: 7k + -6k = 1k -11 + 1k = 0 Solving -11 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1k = 0 + 11 1k = 0 + 11 Combine like terms: 0 + 11 = 11 1k = 11 Divide each side by '1'. k = 11 Simplifying k = 11
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