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Simplifying -119 = 3(1 + -7k) + 4 -119 = (1 * 3 + -7k * 3) + 4 -119 = (3 + -21k) + 4 Reorder the terms: -119 = 3 + 4 + -21k Combine like terms: 3 + 4 = 7 -119 = 7 + -21k Solving -119 = 7 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. -119 + 21k = 7 + -21k + 21k Combine like terms: -21k + 21k = 0 -119 + 21k = 7 + 0 -119 + 21k = 7 Add '119' to each side of the equation. -119 + 119 + 21k = 7 + 119 Combine like terms: -119 + 119 = 0 0 + 21k = 7 + 119 21k = 7 + 119 Combine like terms: 7 + 119 = 126 21k = 126 Divide each side by '21'. k = 6 Simplifying k = 6
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