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Simplifying 7k + -2(2 + -1k) = 12 7k + (2 * -2 + -1k * -2) = 12 7k + (-4 + 2k) = 12 Reorder the terms: -4 + 7k + 2k = 12 Combine like terms: 7k + 2k = 9k -4 + 9k = 12 Solving -4 + 9k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9k = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 9k = 12 + 4 9k = 12 + 4 Combine like terms: 12 + 4 = 16 9k = 16 Divide each side by '9'. k = 1.777777778 Simplifying k = 1.777777778
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