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Simplifying (5k + 3) = (9 + k) Reorder the terms: (3 + 5k) = (9 + k) Remove parenthesis around (3 + 5k) 3 + 5k = (9 + k) Remove parenthesis around (9 + k) 3 + 5k = 9 + k Solving 3 + 5k = 9 + 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. 3 + 5k + -1k = 9 + k + -1k Combine like terms: 5k + -1k = 4k 3 + 4k = 9 + k + -1k Combine like terms: k + -1k = 0 3 + 4k = 9 + 0 3 + 4k = 9 Add '-3' to each side of the equation. 3 + -3 + 4k = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 4k = 9 + -3 4k = 9 + -3 Combine like terms: 9 + -3 = 6 4k = 6 Divide each side by '4'. k = 1.5 Simplifying k = 1.5
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