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Simplifying -7(-8k + 1) = -343 Reorder the terms: -7(1 + -8k) = -343 (1 * -7 + -8k * -7) = -343 (-7 + 56k) = -343 Solving -7 + 56k = -343 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 = -343 + 7 Combine like terms: -7 + 7 = 0 0 + 56k = -343 + 7 56k = -343 + 7 Combine like terms: -343 + 7 = -336 56k = -336 Divide each side by '56'. k = -6 Simplifying k = -6
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