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Simplifying 14 + -1k + -5 = 3x + 27 + -10 Reorder the terms: 14 + -5 + -1k = 3x + 27 + -10 Combine like terms: 14 + -5 = 9 9 + -1k = 3x + 27 + -10 Reorder the terms: 9 + -1k = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 9 + -1k = 17 + 3x Solving 9 + -1k = 17 + 3x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1k = 17 + -9 + 3x Combine like terms: 9 + -9 = 0 0 + -1k = 17 + -9 + 3x -1k = 17 + -9 + 3x Combine like terms: 17 + -9 = 8 -1k = 8 + 3x Divide each side by '-1'. k = -8 + -3x Simplifying k = -8 + -3x
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