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Simplifying -2(-7k + 1) = -114 Reorder the terms: -2(1 + -7k) = -114 (1 * -2 + -7k * -2) = -114 (-2 + 14k) = -114 Solving -2 + 14k = -114 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 14k = -114 + 2 Combine like terms: -2 + 2 = 0 0 + 14k = -114 + 2 14k = -114 + 2 Combine like terms: -114 + 2 = -112 14k = -112 Divide each side by '14'. k = -8 Simplifying k = -8
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