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Simplifying 1 + -5k = 10k + -14 Reorder the terms: 1 + -5k = -14 + 10k Solving 1 + -5k = -14 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 1 + -5k + -10k = -14 + 10k + -10k Combine like terms: -5k + -10k = -15k 1 + -15k = -14 + 10k + -10k Combine like terms: 10k + -10k = 0 1 + -15k = -14 + 0 1 + -15k = -14 Add '-1' to each side of the equation. 1 + -1 + -15k = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -15k = -14 + -1 -15k = -14 + -1 Combine like terms: -14 + -1 = -15 -15k = -15 Divide each side by '-15'. k = 1 Simplifying k = 1
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