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Simplifying 14 + 13k = -6 + 3k Solving 14 + 13k = -6 + 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 + 13k + -3k = -6 + 3k + -3k Combine like terms: 13k + -3k = 10k 14 + 10k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 14 + 10k = -6 + 0 14 + 10k = -6 Add '-14' to each side of the equation. 14 + -14 + 10k = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 10k = -6 + -14 10k = -6 + -14 Combine like terms: -6 + -14 = -20 10k = -20 Divide each side by '10'. k = -2 Simplifying k = -2
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