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Simplifying 9(-2 + 7k) + 1 = 46 (-2 * 9 + 7k * 9) + 1 = 46 (-18 + 63k) + 1 = 46 Reorder the terms: -18 + 1 + 63k = 46 Combine like terms: -18 + 1 = -17 -17 + 63k = 46 Solving -17 + 63k = 46 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 63k = 46 + 17 Combine like terms: -17 + 17 = 0 0 + 63k = 46 + 17 63k = 46 + 17 Combine like terms: 46 + 17 = 63 63k = 63 Divide each side by '63'. k = 1 Simplifying k = 1
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