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Simplifying 3x2 + (2k + -1) + 12 = 0 Reorder the terms: 3x2 + (-1 + 2k) + 12 = 0 Remove parenthesis around (-1 + 2k) 3x2 + -1 + 2k + 12 = 0 Reorder the terms: -1 + 12 + 2k + 3x2 = 0 Combine like terms: -1 + 12 = 11 11 + 2k + 3x2 = 0 Solving 11 + 2k + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 2k + -11 + 3x2 = 0 + -11 Reorder the terms: 11 + -11 + 2k + 3x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2k + 3x2 = 0 + -11 2k + 3x2 = 0 + -11 Combine like terms: 0 + -11 = -11 2k + 3x2 = -11 Add '-3x2' to each side of the equation. 2k + 3x2 + -3x2 = -11 + -3x2 Combine like terms: 3x2 + -3x2 = 0 2k + 0 = -11 + -3x2 2k = -11 + -3x2 Divide each side by '2'. k = -5.5 + -1.5x2 Simplifying k = -5.5 + -1.5x2
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