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Simplifying 268 = 2k + 4(7k + 7) Reorder the terms: 268 = 2k + 4(7 + 7k) 268 = 2k + (7 * 4 + 7k * 4) 268 = 2k + (28 + 28k) Reorder the terms: 268 = 28 + 2k + 28k Combine like terms: 2k + 28k = 30k 268 = 28 + 30k Solving 268 = 28 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 268 + -30k = 28 + 30k + -30k Combine like terms: 30k + -30k = 0 268 + -30k = 28 + 0 268 + -30k = 28 Add '-268' to each side of the equation. 268 + -268 + -30k = 28 + -268 Combine like terms: 268 + -268 = 0 0 + -30k = 28 + -268 -30k = 28 + -268 Combine like terms: 28 + -268 = -240 -30k = -240 Divide each side by '-30'. k = 8 Simplifying k = 8
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