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Simplifying 3k + 14 = (-2k) + -31 Reorder the terms: 14 + 3k = (-2k) + -31 Reorder the terms: 14 + 3k = -31 + (-2k) Solving 14 + 3k = -31 + (-2k) Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '(2k)' to each side of the equation. 14 + 3k + (2k) = -31 + (-2k) + (2k) Combine like terms: 3k + (2k) = 5k 14 + 5k = -31 + (-2k) + (2k) Combine like terms: (-2k) + (2k) = 0 14 + 5k = -31 + 0 14 + 5k = -31 Add '-14' to each side of the equation. 14 + -14 + 5k = -31 + -14 Combine like terms: 14 + -14 = 0 0 + 5k = -31 + -14 5k = -31 + -14 Combine like terms: -31 + -14 = -45 5k = -45 Divide each side by '5'. k = -9 Simplifying k = -9
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