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Simplifying 3 * 12 + (2k) * 1 + -2 = 0 Multiply 3 * 12 36 + (2k) * 1 + -2 = 0 Remove parenthesis around (2k) 36 + 2k * 1 + -2 = 0 Reorder the terms for easier multiplication: 36 + 2 * 1k + -2 = 0 Multiply 2 * 1 36 + 2k + -2 = 0 Reorder the terms: 36 + -2 + 2k = 0 Combine like terms: 36 + -2 = 34 34 + 2k = 0 Solving 34 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 2k = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 2k = 0 + -34 2k = 0 + -34 Combine like terms: 0 + -34 = -34 2k = -34 Divide each side by '2'. k = -17 Simplifying k = -17
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