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Simplifying -7(3k + -3) = -84 Reorder the terms: -7(-3 + 3k) = -84 (-3 * -7 + 3k * -7) = -84 (21 + -21k) = -84 Solving 21 + -21k = -84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -21k = -84 + -21 Combine like terms: 21 + -21 = 0 0 + -21k = -84 + -21 -21k = -84 + -21 Combine like terms: -84 + -21 = -105 -21k = -105 Divide each side by '-21'. k = 5 Simplifying k = 5
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