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Simplifying 9k + -5k + -3 = 3k + -1k + -1 Reorder the terms: -3 + 9k + -5k = 3k + -1k + -1 Combine like terms: 9k + -5k = 4k -3 + 4k = 3k + -1k + -1 Reorder the terms: -3 + 4k = -1 + 3k + -1k Combine like terms: 3k + -1k = 2k -3 + 4k = -1 + 2k Solving -3 + 4k = -1 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -3 + 4k + -2k = -1 + 2k + -2k Combine like terms: 4k + -2k = 2k -3 + 2k = -1 + 2k + -2k Combine like terms: 2k + -2k = 0 -3 + 2k = -1 + 0 -3 + 2k = -1 Add '3' to each side of the equation. -3 + 3 + 2k = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 2k = -1 + 3 2k = -1 + 3 Combine like terms: -1 + 3 = 2 2k = 2 Divide each side by '2'. k = 1 Simplifying k = 1
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