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Simplifying 7(k + 7) + -1(8k + -6) = -2k Reorder the terms: 7(7 + k) + -1(8k + -6) = -2k (7 * 7 + k * 7) + -1(8k + -6) = -2k (49 + 7k) + -1(8k + -6) = -2k Reorder the terms: 49 + 7k + -1(-6 + 8k) = -2k 49 + 7k + (-6 * -1 + 8k * -1) = -2k 49 + 7k + (6 + -8k) = -2k Reorder the terms: 49 + 6 + 7k + -8k = -2k Combine like terms: 49 + 6 = 55 55 + 7k + -8k = -2k Combine like terms: 7k + -8k = -1k 55 + -1k = -2k Solving 55 + -1k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 55 + -1k + 2k = -2k + 2k Combine like terms: -1k + 2k = 1k 55 + 1k = -2k + 2k Combine like terms: -2k + 2k = 0 55 + 1k = 0 Add '-55' to each side of the equation. 55 + -55 + 1k = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 1k = 0 + -55 1k = 0 + -55 Combine like terms: 0 + -55 = -55 1k = -55 Divide each side by '1'. k = -55 Simplifying k = -55
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