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Simplifying k + -11 + 6k = 2(k + 2) Reorder the terms: -11 + k + 6k = 2(k + 2) Combine like terms: k + 6k = 7k -11 + 7k = 2(k + 2) Reorder the terms: -11 + 7k = 2(2 + k) -11 + 7k = (2 * 2 + k * 2) -11 + 7k = (4 + 2k) Solving -11 + 7k = 4 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -11 + 7k + -2k = 4 + 2k + -2k Combine like terms: 7k + -2k = 5k -11 + 5k = 4 + 2k + -2k Combine like terms: 2k + -2k = 0 -11 + 5k = 4 + 0 -11 + 5k = 4 Add '11' to each side of the equation. -11 + 11 + 5k = 4 + 11 Combine like terms: -11 + 11 = 0 0 + 5k = 4 + 11 5k = 4 + 11 Combine like terms: 4 + 11 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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