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Simplifying 99 = 7k + 1 Reorder the terms: 99 = 1 + 7k Solving 99 = 1 + 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. 99 + -7k = 1 + 7k + -7k Combine like terms: 7k + -7k = 0 99 + -7k = 1 + 0 99 + -7k = 1 Add '-99' to each side of the equation. 99 + -99 + -7k = 1 + -99 Combine like terms: 99 + -99 = 0 0 + -7k = 1 + -99 -7k = 1 + -99 Combine like terms: 1 + -99 = -98 -7k = -98 Divide each side by '-7'. k = 14 Simplifying k = 14
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