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Simplifying 7(-2k + 4) + -6 = 7k + -20 Reorder the terms: 7(4 + -2k) + -6 = 7k + -20 (4 * 7 + -2k * 7) + -6 = 7k + -20 (28 + -14k) + -6 = 7k + -20 Reorder the terms: 28 + -6 + -14k = 7k + -20 Combine like terms: 28 + -6 = 22 22 + -14k = 7k + -20 Reorder the terms: 22 + -14k = -20 + 7k Solving 22 + -14k = -20 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 22 + -14k + -7k = -20 + 7k + -7k Combine like terms: -14k + -7k = -21k 22 + -21k = -20 + 7k + -7k Combine like terms: 7k + -7k = 0 22 + -21k = -20 + 0 22 + -21k = -20 Add '-22' to each side of the equation. 22 + -22 + -21k = -20 + -22 Combine like terms: 22 + -22 = 0 0 + -21k = -20 + -22 -21k = -20 + -22 Combine like terms: -20 + -22 = -42 -21k = -42 Divide each side by '-21'. k = 2 Simplifying k = 2
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