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Simplifying 7(k + -2) = k + 10 Reorder the terms: 7(-2 + k) = k + 10 (-2 * 7 + k * 7) = k + 10 (-14 + 7k) = k + 10 Reorder the terms: -14 + 7k = 10 + k Solving -14 + 7k = 10 + 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 = 10 + k + -1k Combine like terms: 7k + -1k = 6k -14 + 6k = 10 + k + -1k Combine like terms: k + -1k = 0 -14 + 6k = 10 + 0 -14 + 6k = 10 Add '14' to each side of the equation. -14 + 14 + 6k = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 6k = 10 + 14 6k = 10 + 14 Combine like terms: 10 + 14 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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