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Simplifying -1(2 + -7k) = 3 + 14k (2 * -1 + -7k * -1) = 3 + 14k (-2 + 7k) = 3 + 14k Solving -2 + 7k = 3 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -2 + 7k + -14k = 3 + 14k + -14k Combine like terms: 7k + -14k = -7k -2 + -7k = 3 + 14k + -14k Combine like terms: 14k + -14k = 0 -2 + -7k = 3 + 0 -2 + -7k = 3 Add '2' to each side of the equation. -2 + 2 + -7k = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -7k = 3 + 2 -7k = 3 + 2 Combine like terms: 3 + 2 = 5 -7k = 5 Divide each side by '-7'. k = -0.7142857143 Simplifying k = -0.7142857143
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