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Simplifying 5(2k + -1) = 3k Reorder the terms: 5(-1 + 2k) = 3k (-1 * 5 + 2k * 5) = 3k (-5 + 10k) = 3k Solving -5 + 10k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -5 + 10k + -3k = 3k + -3k Combine like terms: 10k + -3k = 7k -5 + 7k = 3k + -3k Combine like terms: 3k + -3k = 0 -5 + 7k = 0 Add '5' to each side of the equation. -5 + 5 + 7k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7k = 0 + 5 7k = 0 + 5 Combine like terms: 0 + 5 = 5 7k = 5 Divide each side by '7'. k = 0.7142857143 Simplifying k = 0.7142857143
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