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Simplifying 11 + 5k + 3k = k + 3 + -1k Combine like terms: 5k + 3k = 8k 11 + 8k = k + 3 + -1k Reorder the terms: 11 + 8k = 3 + k + -1k Combine like terms: k + -1k = 0 11 + 8k = 3 + 0 11 + 8k = 3 Solving 11 + 8k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8k = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 8k = 3 + -11 8k = 3 + -11 Combine like terms: 3 + -11 = -8 8k = -8 Divide each side by '8'. k = -1 Simplifying k = -1
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