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Simplifying 4(k + -5) + 3k = 1 Reorder the terms: 4(-5 + k) + 3k = 1 (-5 * 4 + k * 4) + 3k = 1 (-20 + 4k) + 3k = 1 Combine like terms: 4k + 3k = 7k -20 + 7k = 1 Solving -20 + 7k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 7k = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 7k = 1 + 20 7k = 1 + 20 Combine like terms: 1 + 20 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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