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Simplifying 14 + -5k = 3k + -10 Reorder the terms: 14 + -5k = -10 + 3k Solving 14 + -5k = -10 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 14 + -5k + -3k = -10 + 3k + -3k Combine like terms: -5k + -3k = -8k 14 + -8k = -10 + 3k + -3k Combine like terms: 3k + -3k = 0 14 + -8k = -10 + 0 14 + -8k = -10 Add '-14' to each side of the equation. 14 + -14 + -8k = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -8k = -10 + -14 -8k = -10 + -14 Combine like terms: -10 + -14 = -24 -8k = -24 Divide each side by '-8'. k = 3 Simplifying k = 3
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