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Simplifying 5k + 24 = -2(1 + -7k) Reorder the terms: 24 + 5k = -2(1 + -7k) 24 + 5k = (1 * -2 + -7k * -2) 24 + 5k = (-2 + 14k) Solving 24 + 5k = -2 + 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. 24 + 5k + -14k = -2 + 14k + -14k Combine like terms: 5k + -14k = -9k 24 + -9k = -2 + 14k + -14k Combine like terms: 14k + -14k = 0 24 + -9k = -2 + 0 24 + -9k = -2 Add '-24' to each side of the equation. 24 + -24 + -9k = -2 + -24 Combine like terms: 24 + -24 = 0 0 + -9k = -2 + -24 -9k = -2 + -24 Combine like terms: -2 + -24 = -26 -9k = -26 Divide each side by '-9'. k = 2.888888889 Simplifying k = 2.888888889
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