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Simplifying 5k + -3(1 + -1k) = 0 5k + (1 * -3 + -1k * -3) = 0 5k + (-3 + 3k) = 0 Reorder the terms: -3 + 5k + 3k = 0 Combine like terms: 5k + 3k = 8k -3 + 8k = 0 Solving -3 + 8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8k = 0 + 3 8k = 0 + 3 Combine like terms: 0 + 3 = 3 8k = 3 Divide each side by '8'. k = 0.375 Simplifying k = 0.375
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