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Simplifying 7(10 + -1k) + 4 = 11 (10 * 7 + -1k * 7) + 4 = 11 (70 + -7k) + 4 = 11 Reorder the terms: 70 + 4 + -7k = 11 Combine like terms: 70 + 4 = 74 74 + -7k = 11 Solving 74 + -7k = 11 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + -7k = 11 + -74 Combine like terms: 74 + -74 = 0 0 + -7k = 11 + -74 -7k = 11 + -74 Combine like terms: 11 + -74 = -63 -7k = -63 Divide each side by '-7'. k = 9 Simplifying k = 9
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