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Simplifying 8(7k + -2) = 432 Reorder the terms: 8(-2 + 7k) = 432 (-2 * 8 + 7k * 8) = 432 (-16 + 56k) = 432 Solving -16 + 56k = 432 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 56k = 432 + 16 Combine like terms: -16 + 16 = 0 0 + 56k = 432 + 16 56k = 432 + 16 Combine like terms: 432 + 16 = 448 56k = 448 Divide each side by '56'. k = 8 Simplifying k = 8
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