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Simplifying -8k + -27 = -7(k + 4) Reorder the terms: -27 + -8k = -7(k + 4) Reorder the terms: -27 + -8k = -7(4 + k) -27 + -8k = (4 * -7 + k * -7) -27 + -8k = (-28 + -7k) Solving -27 + -8k = -28 + -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. -27 + -8k + 7k = -28 + -7k + 7k Combine like terms: -8k + 7k = -1k -27 + -1k = -28 + -7k + 7k Combine like terms: -7k + 7k = 0 -27 + -1k = -28 + 0 -27 + -1k = -28 Add '27' to each side of the equation. -27 + 27 + -1k = -28 + 27 Combine like terms: -27 + 27 = 0 0 + -1k = -28 + 27 -1k = -28 + 27 Combine like terms: -28 + 27 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1
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