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Simplifying 5(k + -1) + 3k = 0 Reorder the terms: 5(-1 + k) + 3k = 0 (-1 * 5 + k * 5) + 3k = 0 (-5 + 5k) + 3k = 0 Combine like terms: 5k + 3k = 8k -5 + 8k = 0 Solving -5 + 8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8k = 0 + 5 8k = 0 + 5 Combine like terms: 0 + 5 = 5 8k = 5 Divide each side by '8'. k = 0.625 Simplifying k = 0.625
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