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Simplifying 84 = -7(3k + 3) Reorder the terms: 84 = -7(3 + 3k) 84 = (3 * -7 + 3k * -7) 84 = (-21 + -21k) Solving 84 = -21 + -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. 84 + 21k = -21 + -21k + 21k Combine like terms: -21k + 21k = 0 84 + 21k = -21 + 0 84 + 21k = -21 Add '-84' to each side of the equation. 84 + -84 + 21k = -21 + -84 Combine like terms: 84 + -84 = 0 0 + 21k = -21 + -84 21k = -21 + -84 Combine like terms: -21 + -84 = -105 21k = -105 Divide each side by '21'. k = -5 Simplifying k = -5
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