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Simplifying 7(k + 2) = (k + 4) Reorder the terms: 7(2 + k) = (k + 4) (2 * 7 + k * 7) = (k + 4) (14 + 7k) = (k + 4) Reorder the terms: 14 + 7k = (4 + k) Remove parenthesis around (4 + k) 14 + 7k = 4 + k Solving 14 + 7k = 4 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 14 + 7k + -1k = 4 + k + -1k Combine like terms: 7k + -1k = 6k 14 + 6k = 4 + k + -1k Combine like terms: k + -1k = 0 14 + 6k = 4 + 0 14 + 6k = 4 Add '-14' to each side of the equation. 14 + -14 + 6k = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 6k = 4 + -14 6k = 4 + -14 Combine like terms: 4 + -14 = -10 6k = -10 Divide each side by '6'. k = -1.666666667 Simplifying k = -1.666666667
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