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Simplifying 7k + 28 = -2 + 5(6 + 6k) Reorder the terms: 28 + 7k = -2 + 5(6 + 6k) 28 + 7k = -2 + (6 * 5 + 6k * 5) 28 + 7k = -2 + (30 + 30k) Combine like terms: -2 + 30 = 28 28 + 7k = 28 + 30k Add '-28' to each side of the equation. 28 + -28 + 7k = 28 + -28 + 30k Combine like terms: 28 + -28 = 0 0 + 7k = 28 + -28 + 30k 7k = 28 + -28 + 30k Combine like terms: 28 + -28 = 0 7k = 0 + 30k 7k = 30k Solving 7k = 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. 7k + -30k = 30k + -30k Combine like terms: 7k + -30k = -23k -23k = 30k + -30k Combine like terms: 30k + -30k = 0 -23k = 0 Divide each side by '-23'. k = 0 Simplifying k = 0
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