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Simplifying 8 + -3(2k + 9) + (7k) = 2 Reorder the terms: 8 + -3(9 + 2k) + (7k) = 2 8 + (9 * -3 + 2k * -3) + (7k) = 2 8 + (-27 + -6k) + (7k) = 2 Combine like terms: 8 + -27 = -19 -19 + -6k + (7k) = 2 Combine like terms: -6k + (7k) = 1k -19 + 1k = 2 Solving -19 + 1k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1k = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 1k = 2 + 19 1k = 2 + 19 Combine like terms: 2 + 19 = 21 1k = 21 Divide each side by '1'. k = 21 Simplifying k = 21
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