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Simplifying 49 = -2k + 3(3 + -1k) 49 = -2k + (3 * 3 + -1k * 3) 49 = -2k + (9 + -3k) Reorder the terms: 49 = 9 + -2k + -3k Combine like terms: -2k + -3k = -5k 49 = 9 + -5k Solving 49 = 9 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 49 + 5k = 9 + -5k + 5k Combine like terms: -5k + 5k = 0 49 + 5k = 9 + 0 49 + 5k = 9 Add '-49' to each side of the equation. 49 + -49 + 5k = 9 + -49 Combine like terms: 49 + -49 = 0 0 + 5k = 9 + -49 5k = 9 + -49 Combine like terms: 9 + -49 = -40 5k = -40 Divide each side by '5'. k = -8 Simplifying k = -8
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