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Simplifying -8(k + 4) + 3k = -38 + -7k Reorder the terms: -8(4 + k) + 3k = -38 + -7k (4 * -8 + k * -8) + 3k = -38 + -7k (-32 + -8k) + 3k = -38 + -7k Combine like terms: -8k + 3k = -5k -32 + -5k = -38 + -7k Solving -32 + -5k = -38 + -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. -32 + -5k + 7k = -38 + -7k + 7k Combine like terms: -5k + 7k = 2k -32 + 2k = -38 + -7k + 7k Combine like terms: -7k + 7k = 0 -32 + 2k = -38 + 0 -32 + 2k = -38 Add '32' to each side of the equation. -32 + 32 + 2k = -38 + 32 Combine like terms: -32 + 32 = 0 0 + 2k = -38 + 32 2k = -38 + 32 Combine like terms: -38 + 32 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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