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Simplifying 99 = 7k + -8(6 + 7k) 99 = 7k + (6 * -8 + 7k * -8) 99 = 7k + (-48 + -56k) Reorder the terms: 99 = -48 + 7k + -56k Combine like terms: 7k + -56k = -49k 99 = -48 + -49k Solving 99 = -48 + -49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '49k' to each side of the equation. 99 + 49k = -48 + -49k + 49k Combine like terms: -49k + 49k = 0 99 + 49k = -48 + 0 99 + 49k = -48 Add '-99' to each side of the equation. 99 + -99 + 49k = -48 + -99 Combine like terms: 99 + -99 = 0 0 + 49k = -48 + -99 49k = -48 + -99 Combine like terms: -48 + -99 = -147 49k = -147 Divide each side by '49'. k = -3 Simplifying k = -3
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