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Simplifying 12k + 2 * 3 + 3k + 1 = 0 Multiply 2 * 3 12k + 6 + 3k + 1 = 0 Reorder the terms: 6 + 1 + 12k + 3k = 0 Combine like terms: 6 + 1 = 7 7 + 12k + 3k = 0 Combine like terms: 12k + 3k = 15k 7 + 15k = 0 Solving 7 + 15k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 15k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 15k = 0 + -7 15k = 0 + -7 Combine like terms: 0 + -7 = -7 15k = -7 Divide each side by '15'. k = -0.4666666667 Simplifying k = -0.4666666667
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