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Simplifying 9k + -1(8 + k) = -1(7k + 8) 9k + (8 * -1 + k * -1) = -1(7k + 8) 9k + (-8 + -1k) = -1(7k + 8) Reorder the terms: -8 + 9k + -1k = -1(7k + 8) Combine like terms: 9k + -1k = 8k -8 + 8k = -1(7k + 8) Reorder the terms: -8 + 8k = -1(8 + 7k) -8 + 8k = (8 * -1 + 7k * -1) -8 + 8k = (-8 + -7k) Add '8' to each side of the equation. -8 + 8 + 8k = -8 + 8 + -7k Combine like terms: -8 + 8 = 0 0 + 8k = -8 + 8 + -7k 8k = -8 + 8 + -7k Combine like terms: -8 + 8 = 0 8k = 0 + -7k 8k = -7k Solving 8k = -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. 8k + 7k = -7k + 7k Combine like terms: 8k + 7k = 15k 15k = -7k + 7k Combine like terms: -7k + 7k = 0 15k = 0 Divide each side by '15'. k = 0 Simplifying k = 0
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