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Simplifying 7(k + 4) + 5 = 89 Reorder the terms: 7(4 + k) + 5 = 89 (4 * 7 + k * 7) + 5 = 89 (28 + 7k) + 5 = 89 Reorder the terms: 28 + 5 + 7k = 89 Combine like terms: 28 + 5 = 33 33 + 7k = 89 Solving 33 + 7k = 89 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 7k = 89 + -33 Combine like terms: 33 + -33 = 0 0 + 7k = 89 + -33 7k = 89 + -33 Combine like terms: 89 + -33 = 56 7k = 56 Divide each side by '7'. k = 8 Simplifying k = 8
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