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Simplifying 3(2k + -9) + -1k = 8 Reorder the terms: 3(-9 + 2k) + -1k = 8 (-9 * 3 + 2k * 3) + -1k = 8 (-27 + 6k) + -1k = 8 Combine like terms: 6k + -1k = 5k -27 + 5k = 8 Solving -27 + 5k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 5k = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 5k = 8 + 27 5k = 8 + 27 Combine like terms: 8 + 27 = 35 5k = 35 Divide each side by '5'. k = 7 Simplifying k = 7
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