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Simplifying 14 = 5k + -31 Reorder the terms: 14 = -31 + 5k Solving 14 = -31 + 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 = -31 + 5k + -5k Combine like terms: 5k + -5k = 0 14 + -5k = -31 + 0 14 + -5k = -31 Add '-14' to each side of the equation. 14 + -14 + -5k = -31 + -14 Combine like terms: 14 + -14 = 0 0 + -5k = -31 + -14 -5k = -31 + -14 Combine like terms: -31 + -14 = -45 -5k = -45 Divide each side by '-5'. k = 9 Simplifying k = 9
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