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Simplifying 11 = 5k + 4 + 3k + -9 Reorder the terms: 11 = 4 + -9 + 5k + 3k Combine like terms: 4 + -9 = -5 11 = -5 + 5k + 3k Combine like terms: 5k + 3k = 8k 11 = -5 + 8k Solving 11 = -5 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 11 + -8k = -5 + 8k + -8k Combine like terms: 8k + -8k = 0 11 + -8k = -5 + 0 11 + -8k = -5 Add '-11' to each side of the equation. 11 + -11 + -8k = -5 + -11 Combine like terms: 11 + -11 = 0 0 + -8k = -5 + -11 -8k = -5 + -11 Combine like terms: -5 + -11 = -16 -8k = -16 Divide each side by '-8'. k = 2 Simplifying k = 2
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