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Simplifying -7(1 + -8k) = 16 (1 * -7 + -8k * -7) = 16 (-7 + 56k) = 16 Solving -7 + 56k = 16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 56k = 16 + 7 Combine like terms: -7 + 7 = 0 0 + 56k = 16 + 7 56k = 16 + 7 Combine like terms: 16 + 7 = 23 56k = 23 Divide each side by '56'. k = 0.4107142857 Simplifying k = 0.4107142857
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