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Simplifying 5(2k + -1) = 38 + k Reorder the terms: 5(-1 + 2k) = 38 + k (-1 * 5 + 2k * 5) = 38 + k (-5 + 10k) = 38 + k Solving -5 + 10k = 38 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -5 + 10k + -1k = 38 + k + -1k Combine like terms: 10k + -1k = 9k -5 + 9k = 38 + k + -1k Combine like terms: k + -1k = 0 -5 + 9k = 38 + 0 -5 + 9k = 38 Add '5' to each side of the equation. -5 + 5 + 9k = 38 + 5 Combine like terms: -5 + 5 = 0 0 + 9k = 38 + 5 9k = 38 + 5 Combine like terms: 38 + 5 = 43 9k = 43 Divide each side by '9'. k = 4.777777778 Simplifying k = 4.777777778
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