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Simplifying 8k + -2(4 + -3k) = 0 8k + (4 * -2 + -3k * -2) = 0 8k + (-8 + 6k) = 0 Reorder the terms: -8 + 8k + 6k = 0 Combine like terms: 8k + 6k = 14k -8 + 14k = 0 Solving -8 + 14k = 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 + 14k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 14k = 0 + 8 14k = 0 + 8 Combine like terms: 0 + 8 = 8 14k = 8 Divide each side by '14'. k = 0.5714285714 Simplifying k = 0.5714285714
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