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Simplifying -5(k + -2) = 14 + -3k Reorder the terms: -5(-2 + k) = 14 + -3k (-2 * -5 + k * -5) = 14 + -3k (10 + -5k) = 14 + -3k Solving 10 + -5k = 14 + -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. 10 + -5k + 3k = 14 + -3k + 3k Combine like terms: -5k + 3k = -2k 10 + -2k = 14 + -3k + 3k Combine like terms: -3k + 3k = 0 10 + -2k = 14 + 0 10 + -2k = 14 Add '-10' to each side of the equation. 10 + -10 + -2k = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -2k = 14 + -10 -2k = 14 + -10 Combine like terms: 14 + -10 = 4 -2k = 4 Divide each side by '-2'. k = -2 Simplifying k = -2
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