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Simplifying 30 = -6(k + 4) Reorder the terms: 30 = -6(4 + k) 30 = (4 * -6 + k * -6) 30 = (-24 + -6k) Solving 30 = -24 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 30 + 6k = -24 + -6k + 6k Combine like terms: -6k + 6k = 0 30 + 6k = -24 + 0 30 + 6k = -24 Add '-30' to each side of the equation. 30 + -30 + 6k = -24 + -30 Combine like terms: 30 + -30 = 0 0 + 6k = -24 + -30 6k = -24 + -30 Combine like terms: -24 + -30 = -54 6k = -54 Divide each side by '6'. k = -9 Simplifying k = -9

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