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Simplifying -2(7 + -5k) + -8k = -3k + -4(k + 8) (7 * -2 + -5k * -2) + -8k = -3k + -4(k + 8) (-14 + 10k) + -8k = -3k + -4(k + 8) Combine like terms: 10k + -8k = 2k -14 + 2k = -3k + -4(k + 8) Reorder the terms: -14 + 2k = -3k + -4(8 + k) -14 + 2k = -3k + (8 * -4 + k * -4) -14 + 2k = -3k + (-32 + -4k) Reorder the terms: -14 + 2k = -32 + -3k + -4k Combine like terms: -3k + -4k = -7k -14 + 2k = -32 + -7k Solving -14 + 2k = -32 + -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. -14 + 2k + 7k = -32 + -7k + 7k Combine like terms: 2k + 7k = 9k -14 + 9k = -32 + -7k + 7k Combine like terms: -7k + 7k = 0 -14 + 9k = -32 + 0 -14 + 9k = -32 Add '14' to each side of the equation. -14 + 14 + 9k = -32 + 14 Combine like terms: -14 + 14 = 0 0 + 9k = -32 + 14 9k = -32 + 14 Combine like terms: -32 + 14 = -18 9k = -18 Divide each side by '9'. k = -2 Simplifying k = -2
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