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Simplifying 7(k + 4) + -2k + 2 = 60 Reorder the terms: 7(4 + k) + -2k + 2 = 60 (4 * 7 + k * 7) + -2k + 2 = 60 (28 + 7k) + -2k + 2 = 60 Reorder the terms: 28 + 2 + 7k + -2k = 60 Combine like terms: 28 + 2 = 30 30 + 7k + -2k = 60 Combine like terms: 7k + -2k = 5k 30 + 5k = 60 Solving 30 + 5k = 60 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5k = 60 + -30 Combine like terms: 30 + -30 = 0 0 + 5k = 60 + -30 5k = 60 + -30 Combine like terms: 60 + -30 = 30 5k = 30 Divide each side by '5'. k = 6 Simplifying k = 6
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