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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 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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