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Simplifying -1 + 2(-5 + 7k) = -109 -1 + (-5 * 2 + 7k * 2) = -109 -1 + (-10 + 14k) = -109 Combine like terms: -1 + -10 = -11 -11 + 14k = -109 Solving -11 + 14k = -109 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 14k = -109 + 11 Combine like terms: -11 + 11 = 0 0 + 14k = -109 + 11 14k = -109 + 11 Combine like terms: -109 + 11 = -98 14k = -98 Divide each side by '14'. k = -7 Simplifying k = -7
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