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Simplifying (2k + -1) * 2 = 9 Reorder the terms: (-1 + 2k) * 2 = 9 Reorder the terms for easier multiplication: 2(-1 + 2k) = 9 (-1 * 2 + 2k * 2) = 9 (-2 + 4k) = 9 Solving -2 + 4k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4k = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 4k = 9 + 2 4k = 9 + 2 Combine like terms: 9 + 2 = 11 4k = 11 Divide each side by '4'. k = 2.75 Simplifying k = 2.75
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