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Simplifying 14 = 1 + 5k + 8 Reorder the terms: 14 = 1 + 8 + 5k Combine like terms: 1 + 8 = 9 14 = 9 + 5k Solving 14 = 9 + 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 = 9 + 5k + -5k Combine like terms: 5k + -5k = 0 14 + -5k = 9 + 0 14 + -5k = 9 Add '-14' to each side of the equation. 14 + -14 + -5k = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -5k = 9 + -14 -5k = 9 + -14 Combine like terms: 9 + -14 = -5 -5k = -5 Divide each side by '-5'. k = 1 Simplifying k = 1
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