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Simplifying 3(k + 8) + -4(k + 4) = 4k + -7k Reorder the terms: 3(8 + k) + -4(k + 4) = 4k + -7k (8 * 3 + k * 3) + -4(k + 4) = 4k + -7k (24 + 3k) + -4(k + 4) = 4k + -7k Reorder the terms: 24 + 3k + -4(4 + k) = 4k + -7k 24 + 3k + (4 * -4 + k * -4) = 4k + -7k 24 + 3k + (-16 + -4k) = 4k + -7k Reorder the terms: 24 + -16 + 3k + -4k = 4k + -7k Combine like terms: 24 + -16 = 8 8 + 3k + -4k = 4k + -7k Combine like terms: 3k + -4k = -1k 8 + -1k = 4k + -7k Combine like terms: 4k + -7k = -3k 8 + -1k = -3k Solving 8 + -1k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 8 + -1k + 3k = -3k + 3k Combine like terms: -1k + 3k = 2k 8 + 2k = -3k + 3k Combine like terms: -3k + 3k = 0 8 + 2k = 0 Add '-8' to each side of the equation. 8 + -8 + 2k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2k = 0 + -8 2k = 0 + -8 Combine like terms: 0 + -8 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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