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Simplifying 7(k + 8) = 7 + -10k + -8 Reorder the terms: 7(8 + k) = 7 + -10k + -8 (8 * 7 + k * 7) = 7 + -10k + -8 (56 + 7k) = 7 + -10k + -8 Reorder the terms: 56 + 7k = 7 + -8 + -10k Combine like terms: 7 + -8 = -1 56 + 7k = -1 + -10k Solving 56 + 7k = -1 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 56 + 7k + 10k = -1 + -10k + 10k Combine like terms: 7k + 10k = 17k 56 + 17k = -1 + -10k + 10k Combine like terms: -10k + 10k = 0 56 + 17k = -1 + 0 56 + 17k = -1 Add '-56' to each side of the equation. 56 + -56 + 17k = -1 + -56 Combine like terms: 56 + -56 = 0 0 + 17k = -1 + -56 17k = -1 + -56 Combine like terms: -1 + -56 = -57 17k = -57 Divide each side by '17'. k = -3.352941176 Simplifying k = -3.352941176
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