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Simplifying -3k + 5 = 11k + 19 Reorder the terms: 5 + -3k = 11k + 19 Reorder the terms: 5 + -3k = 19 + 11k Solving 5 + -3k = 19 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 5 + -3k + -11k = 19 + 11k + -11k Combine like terms: -3k + -11k = -14k 5 + -14k = 19 + 11k + -11k Combine like terms: 11k + -11k = 0 5 + -14k = 19 + 0 5 + -14k = 19 Add '-5' to each side of the equation. 5 + -5 + -14k = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -14k = 19 + -5 -14k = 19 + -5 Combine like terms: 19 + -5 = 14 -14k = 14 Divide each side by '-14'. k = -1 Simplifying k = -1
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