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Simplifying -81 = -1(1 + -7k) + 3k -81 = (1 * -1 + -7k * -1) + 3k -81 = (-1 + 7k) + 3k Combine like terms: 7k + 3k = 10k -81 = -1 + 10k Solving -81 = -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. -81 + -10k = -1 + 10k + -10k Combine like terms: 10k + -10k = 0 -81 + -10k = -1 + 0 -81 + -10k = -1 Add '81' to each side of the equation. -81 + 81 + -10k = -1 + 81 Combine like terms: -81 + 81 = 0 0 + -10k = -1 + 81 -10k = -1 + 81 Combine like terms: -1 + 81 = 80 -10k = 80 Divide each side by '-10'. k = -8 Simplifying k = -8
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