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Simplifying 14 + -8k = 1 + 5k Solving 14 + -8k = 1 + 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 + -8k + -5k = 1 + 5k + -5k Combine like terms: -8k + -5k = -13k 14 + -13k = 1 + 5k + -5k Combine like terms: 5k + -5k = 0 14 + -13k = 1 + 0 14 + -13k = 1 Add '-14' to each side of the equation. 14 + -14 + -13k = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -13k = 1 + -14 -13k = 1 + -14 Combine like terms: 1 + -14 = -13 -13k = -13 Divide each side by '-13'. k = 1 Simplifying k = 1
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