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Simplifying 18 = 4 + 7(k + 6) Reorder the terms: 18 = 4 + 7(6 + k) 18 = 4 + (6 * 7 + k * 7) 18 = 4 + (42 + 7k) Combine like terms: 4 + 42 = 46 18 = 46 + 7k Solving 18 = 46 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 18 + -7k = 46 + 7k + -7k Combine like terms: 7k + -7k = 0 18 + -7k = 46 + 0 18 + -7k = 46 Add '-18' to each side of the equation. 18 + -18 + -7k = 46 + -18 Combine like terms: 18 + -18 = 0 0 + -7k = 46 + -18 -7k = 46 + -18 Combine like terms: 46 + -18 = 28 -7k = 28 Divide each side by '-7'. k = -4 Simplifying k = -4
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