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Simplifying 2 + -1k + 3(-4k + 2) = 0 Reorder the terms: 2 + -1k + 3(2 + -4k) = 0 2 + -1k + (2 * 3 + -4k * 3) = 0 2 + -1k + (6 + -12k) = 0 Reorder the terms: 2 + 6 + -1k + -12k = 0 Combine like terms: 2 + 6 = 8 8 + -1k + -12k = 0 Combine like terms: -1k + -12k = -13k 8 + -13k = 0 Solving 8 + -13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -13k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -13k = 0 + -8 -13k = 0 + -8 Combine like terms: 0 + -8 = -8 -13k = -8 Divide each side by '-13'. k = 0.6153846154 Simplifying k = 0.6153846154
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