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