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Simplifying 7(k + 1) = 63 Reorder the terms: 7(1 + k) = 63 (1 * 7 + k * 7) = 63 (7 + 7k) = 63 Solving 7 + 7k = 63 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7k = 63 + -7 Combine like terms: 7 + -7 = 0 0 + 7k = 63 + -7 7k = 63 + -7 Combine like terms: 63 + -7 = 56 7k = 56 Divide each side by '7'. k = 8 Simplifying k = 8
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