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Simplifying 99 = -7k + -3(1 + -8k) 99 = -7k + (1 * -3 + -8k * -3) 99 = -7k + (-3 + 24k) Reorder the terms: 99 = -3 + -7k + 24k Combine like terms: -7k + 24k = 17k 99 = -3 + 17k Solving 99 = -3 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 99 + -17k = -3 + 17k + -17k Combine like terms: 17k + -17k = 0 99 + -17k = -3 + 0 99 + -17k = -3 Add '-99' to each side of the equation. 99 + -99 + -17k = -3 + -99 Combine like terms: 99 + -99 = 0 0 + -17k = -3 + -99 -17k = -3 + -99 Combine like terms: -3 + -99 = -102 -17k = -102 Divide each side by '-17'. k = 6 Simplifying k = 6
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