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Simplifying 14k + 42 = 10k + -14 Reorder the terms: 42 + 14k = 10k + -14 Reorder the terms: 42 + 14k = -14 + 10k Solving 42 + 14k = -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. 42 + 14k + -10k = -14 + 10k + -10k Combine like terms: 14k + -10k = 4k 42 + 4k = -14 + 10k + -10k Combine like terms: 10k + -10k = 0 42 + 4k = -14 + 0 42 + 4k = -14 Add '-42' to each side of the equation. 42 + -42 + 4k = -14 + -42 Combine like terms: 42 + -42 = 0 0 + 4k = -14 + -42 4k = -14 + -42 Combine like terms: -14 + -42 = -56 4k = -56 Divide each side by '4'. k = -14 Simplifying k = -14
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