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