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Simplifying 9 + -1k + 14 = 3k + -1 Reorder the terms: 9 + 14 + -1k = 3k + -1 Combine like terms: 9 + 14 = 23 23 + -1k = 3k + -1 Reorder the terms: 23 + -1k = -1 + 3k Solving 23 + -1k = -1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 23 + -1k + -3k = -1 + 3k + -3k Combine like terms: -1k + -3k = -4k 23 + -4k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 23 + -4k = -1 + 0 23 + -4k = -1 Add '-23' to each side of the equation. 23 + -23 + -4k = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -4k = -1 + -23 -4k = -1 + -23 Combine like terms: -1 + -23 = -24 -4k = -24 Divide each side by '-4'. k = 6 Simplifying k = 6
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