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Simplifying 1 + -3k = 4k + 8 + -9k Reorder the terms: 1 + -3k = 8 + 4k + -9k Combine like terms: 4k + -9k = -5k 1 + -3k = 8 + -5k Solving 1 + -3k = 8 + -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. 1 + -3k + 5k = 8 + -5k + 5k Combine like terms: -3k + 5k = 2k 1 + 2k = 8 + -5k + 5k Combine like terms: -5k + 5k = 0 1 + 2k = 8 + 0 1 + 2k = 8 Add '-1' to each side of the equation. 1 + -1 + 2k = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = 8 + -1 2k = 8 + -1 Combine like terms: 8 + -1 = 7 2k = 7 Divide each side by '2'. k = 3.5 Simplifying k = 3.5
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