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Simplifying -2k + 11k + -15 = k + 19 Reorder the terms: -15 + -2k + 11k = k + 19 Combine like terms: -2k + 11k = 9k -15 + 9k = k + 19 Reorder the terms: -15 + 9k = 19 + k Solving -15 + 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. -15 + 9k + -1k = 19 + k + -1k Combine like terms: 9k + -1k = 8k -15 + 8k = 19 + k + -1k Combine like terms: k + -1k = 0 -15 + 8k = 19 + 0 -15 + 8k = 19 Add '15' to each side of the equation. -15 + 15 + 8k = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 8k = 19 + 15 8k = 19 + 15 Combine like terms: 19 + 15 = 34 8k = 34 Divide each side by '8'. k = 4.25 Simplifying k = 4.25
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