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Simplifying (11 + -1k) = (3k + -9) Remove parenthesis around (11 + -1k) 11 + -1k = (3k + -9) Reorder the terms: 11 + -1k = (-9 + 3k) Remove parenthesis around (-9 + 3k) 11 + -1k = -9 + 3k Solving 11 + -1k = -9 + 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. 11 + -1k + -3k = -9 + 3k + -3k Combine like terms: -1k + -3k = -4k 11 + -4k = -9 + 3k + -3k Combine like terms: 3k + -3k = 0 11 + -4k = -9 + 0 11 + -4k = -9 Add '-11' to each side of the equation. 11 + -11 + -4k = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -4k = -9 + -11 -4k = -9 + -11 Combine like terms: -9 + -11 = -20 -4k = -20 Divide each side by '-4'. k = 5 Simplifying k = 5
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