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Simplifying -337 = -1k + 7(1 + -6k) -337 = -1k + (1 * 7 + -6k * 7) -337 = -1k + (7 + -42k) Reorder the terms: -337 = 7 + -1k + -42k Combine like terms: -1k + -42k = -43k -337 = 7 + -43k Solving -337 = 7 + -43k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '43k' to each side of the equation. -337 + 43k = 7 + -43k + 43k Combine like terms: -43k + 43k = 0 -337 + 43k = 7 + 0 -337 + 43k = 7 Add '337' to each side of the equation. -337 + 337 + 43k = 7 + 337 Combine like terms: -337 + 337 = 0 0 + 43k = 7 + 337 43k = 7 + 337 Combine like terms: 7 + 337 = 344 43k = 344 Divide each side by '43'. k = 8 Simplifying k = 8
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