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Simplifying 2(3k + -7) = 9 Reorder the terms: 2(-7 + 3k) = 9 (-7 * 2 + 3k * 2) = 9 (-14 + 6k) = 9 Solving -14 + 6k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6k = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 6k = 9 + 14 6k = 9 + 14 Combine like terms: 9 + 14 = 23 6k = 23 Divide each side by '6'. k = 3.833333333 Simplifying k = 3.833333333
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