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Simplifying 3(1 + 7k) = -165 (1 * 3 + 7k * 3) = -165 (3 + 21k) = -165 Solving 3 + 21k = -165 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 21k = -165 + -3 Combine like terms: 3 + -3 = 0 0 + 21k = -165 + -3 21k = -165 + -3 Combine like terms: -165 + -3 = -168 21k = -168 Divide each side by '21'. k = -8 Simplifying k = -8
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