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Simplifying -8(7k + 1) = 216 Reorder the terms: -8(1 + 7k) = 216 (1 * -8 + 7k * -8) = 216 (-8 + -56k) = 216 Solving -8 + -56k = 216 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -56k = 216 + 8 Combine like terms: -8 + 8 = 0 0 + -56k = 216 + 8 -56k = 216 + 8 Combine like terms: 216 + 8 = 224 -56k = 224 Divide each side by '-56'. k = -4 Simplifying k = -4
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