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Simplifying 14 = (-5k) + -1 + 5 Reorder the terms: 14 = -1 + 5 + (-5k) Combine like terms: -1 + 5 = 4 14 = 4 + (-5k) Solving 14 = 4 + (-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. 14 + (5k) = 4 + (-5k) + (5k) Combine like terms: (-5k) + (5k) = 0 14 + (5k) = 4 + 0 14 + (5k) = 4 Add '-14' to each side of the equation. 14 + -14 + (5k) = 4 + -14 Combine like terms: 14 + -14 = 0 0 + (5k) = 4 + -14 (5k) = 4 + -14 Combine like terms: 4 + -14 = -10 (5k) = -10 Divide each side by '5'. k = -2 Simplifying k = -2
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