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Simplifying 20 = 7(k + 46) + -15 Reorder the terms: 20 = 7(46 + k) + -15 20 = (46 * 7 + k * 7) + -15 20 = (322 + 7k) + -15 Reorder the terms: 20 = 322 + -15 + 7k Combine like terms: 322 + -15 = 307 20 = 307 + 7k Solving 20 = 307 + 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. 20 + -7k = 307 + 7k + -7k Combine like terms: 7k + -7k = 0 20 + -7k = 307 + 0 20 + -7k = 307 Add '-20' to each side of the equation. 20 + -20 + -7k = 307 + -20 Combine like terms: 20 + -20 = 0 0 + -7k = 307 + -20 -7k = 307 + -20 Combine like terms: 307 + -20 = 287 -7k = 287 Divide each side by '-7'. k = -41 Simplifying k = -41
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