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Simplifying -38 + -7k = -8(k + 4) Reorder the terms: -38 + -7k = -8(4 + k) -38 + -7k = (4 * -8 + k * -8) -38 + -7k = (-32 + -8k) Solving -38 + -7k = -32 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -38 + -7k + 8k = -32 + -8k + 8k Combine like terms: -7k + 8k = 1k -38 + 1k = -32 + -8k + 8k Combine like terms: -8k + 8k = 0 -38 + 1k = -32 + 0 -38 + 1k = -32 Add '38' to each side of the equation. -38 + 38 + 1k = -32 + 38 Combine like terms: -38 + 38 = 0 0 + 1k = -32 + 38 1k = -32 + 38 Combine like terms: -32 + 38 = 6 1k = 6 Divide each side by '1'. k = 6 Simplifying k = 6
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