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Simplifying -2k + 11k + -5 = k + 19 Reorder the terms: -5 + -2k + 11k = k + 19 Combine like terms: -2k + 11k = 9k -5 + 9k = k + 19 Reorder the terms: -5 + 9k = 19 + k Solving -5 + 9k = 19 + 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. -5 + 9k + -1k = 19 + k + -1k Combine like terms: 9k + -1k = 8k -5 + 8k = 19 + k + -1k Combine like terms: k + -1k = 0 -5 + 8k = 19 + 0 -5 + 8k = 19 Add '5' to each side of the equation. -5 + 5 + 8k = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 8k = 19 + 5 8k = 19 + 5 Combine like terms: 19 + 5 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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