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Simplifying -1k + 20 = 4(5 + -7k) Reorder the terms: 20 + -1k = 4(5 + -7k) 20 + -1k = (5 * 4 + -7k * 4) 20 + -1k = (20 + -28k) Add '-20' to each side of the equation. 20 + -20 + -1k = 20 + -20 + -28k Combine like terms: 20 + -20 = 0 0 + -1k = 20 + -20 + -28k -1k = 20 + -20 + -28k Combine like terms: 20 + -20 = 0 -1k = 0 + -28k -1k = -28k Solving -1k = -28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. -1k + 28k = -28k + 28k Combine like terms: -1k + 28k = 27k 27k = -28k + 28k Combine like terms: -28k + 28k = 0 27k = 0 Divide each side by '27'. k = 0 Simplifying k = 0
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