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Simplifying -2(1 + 7k) = 15 (1 * -2 + 7k * -2) = 15 (-2 + -14k) = 15 Solving -2 + -14k = 15 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 = 15 + 2 Combine like terms: -2 + 2 = 0 0 + -14k = 15 + 2 -14k = 15 + 2 Combine like terms: 15 + 2 = 17 -14k = 17 Divide each side by '-14'. k = -1.214285714 Simplifying k = -1.214285714
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