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Simplifying 9k + -5k + -3 = 3k + -1k + -1k + 1 Reorder the terms: -3 + 9k + -5k = 3k + -1k + -1k + 1 Combine like terms: 9k + -5k = 4k -3 + 4k = 3k + -1k + -1k + 1 Reorder the terms: -3 + 4k = 1 + 3k + -1k + -1k Combine like terms: 3k + -1k = 2k -3 + 4k = 1 + 2k + -1k Combine like terms: 2k + -1k = 1k -3 + 4k = 1 + 1k Solving -3 + 4k = 1 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -3 + 4k + -1k = 1 + 1k + -1k Combine like terms: 4k + -1k = 3k -3 + 3k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -3 + 3k = 1 + 0 -3 + 3k = 1 Add '3' to each side of the equation. -3 + 3 + 3k = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 1 + 3 3k = 1 + 3 Combine like terms: 1 + 3 = 4 3k = 4 Divide each side by '3'. k = 1.333333333 Simplifying k = 1.333333333
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