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Simplifying 13(7 + -1k) + 11 = 349 (7 * 13 + -1k * 13) + 11 = 349 (91 + -13k) + 11 = 349 Reorder the terms: 91 + 11 + -13k = 349 Combine like terms: 91 + 11 = 102 102 + -13k = 349 Solving 102 + -13k = 349 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + -13k = 349 + -102 Combine like terms: 102 + -102 = 0 0 + -13k = 349 + -102 -13k = 349 + -102 Combine like terms: 349 + -102 = 247 -13k = 247 Divide each side by '-13'. k = -19 Simplifying k = -19
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