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Simplifying 3 * 1 + (2k) * 1 + -2 = 0 Multiply 3 * 1 3 + (2k) * 1 + -2 = 0 Remove parenthesis around (2k) 3 + 2k * 1 + -2 = 0 Reorder the terms for easier multiplication: 3 + 2 * 1k + -2 = 0 Multiply 2 * 1 3 + 2k + -2 = 0 Reorder the terms: 3 + -2 + 2k = 0 Combine like terms: 3 + -2 = 1 1 + 2k = 0 Solving 1 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = 0 + -1 2k = 0 + -1 Combine like terms: 0 + -1 = -1 2k = -1 Divide each side by '2'. k = -0.5 Simplifying k = -0.5
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