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Simplifying 99 = 7(k + 5) + 8 Reorder the terms: 99 = 7(5 + k) + 8 99 = (5 * 7 + k * 7) + 8 99 = (35 + 7k) + 8 Reorder the terms: 99 = 35 + 8 + 7k Combine like terms: 35 + 8 = 43 99 = 43 + 7k Solving 99 = 43 + 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 = 43 + 7k + -7k Combine like terms: 7k + -7k = 0 99 + -7k = 43 + 0 99 + -7k = 43 Add '-99' to each side of the equation. 99 + -99 + -7k = 43 + -99 Combine like terms: 99 + -99 = 0 0 + -7k = 43 + -99 -7k = 43 + -99 Combine like terms: 43 + -99 = -56 -7k = -56 Divide each side by '-7'. k = 8 Simplifying k = 8
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