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Simplifying -329 = 7(1 + 7k) + -1k -329 = (1 * 7 + 7k * 7) + -1k -329 = (7 + 49k) + -1k Combine like terms: 49k + -1k = 48k -329 = 7 + 48k Solving -329 = 7 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. -329 + -48k = 7 + 48k + -48k Combine like terms: 48k + -48k = 0 -329 + -48k = 7 + 0 -329 + -48k = 7 Add '329' to each side of the equation. -329 + 329 + -48k = 7 + 329 Combine like terms: -329 + 329 = 0 0 + -48k = 7 + 329 -48k = 7 + 329 Combine like terms: 7 + 329 = 336 -48k = 336 Divide each side by '-48'. k = -7 Simplifying k = -7
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