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