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Simplifying 3(k + 1) + 11 = 2(4 + 5k) + 3 Reorder the terms: 3(1 + k) + 11 = 2(4 + 5k) + 3 (1 * 3 + k * 3) + 11 = 2(4 + 5k) + 3 (3 + 3k) + 11 = 2(4 + 5k) + 3 Reorder the terms: 3 + 11 + 3k = 2(4 + 5k) + 3 Combine like terms: 3 + 11 = 14 14 + 3k = 2(4 + 5k) + 3 14 + 3k = (4 * 2 + 5k * 2) + 3 14 + 3k = (8 + 10k) + 3 Reorder the terms: 14 + 3k = 8 + 3 + 10k Combine like terms: 8 + 3 = 11 14 + 3k = 11 + 10k Solving 14 + 3k = 11 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 14 + 3k + -10k = 11 + 10k + -10k Combine like terms: 3k + -10k = -7k 14 + -7k = 11 + 10k + -10k Combine like terms: 10k + -10k = 0 14 + -7k = 11 + 0 14 + -7k = 11 Add '-14' to each side of the equation. 14 + -14 + -7k = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -7k = 11 + -14 -7k = 11 + -14 Combine like terms: 11 + -14 = -3 -7k = -3 Divide each side by '-7'. k = 0.4285714286 Simplifying k = 0.4285714286
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