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Simplifying 3(7 + -7k) + 19 = -65 (7 * 3 + -7k * 3) + 19 = -65 (21 + -21k) + 19 = -65 Reorder the terms: 21 + 19 + -21k = -65 Combine like terms: 21 + 19 = 40 40 + -21k = -65 Solving 40 + -21k = -65 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -21k = -65 + -40 Combine like terms: 40 + -40 = 0 0 + -21k = -65 + -40 -21k = -65 + -40 Combine like terms: -65 + -40 = -105 -21k = -105 Divide each side by '-21'. k = 5 Simplifying k = 5
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