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Simplifying 30 = -5(6k + 6) Reorder the terms: 30 = -5(6 + 6k) 30 = (6 * -5 + 6k * -5) 30 = (-30 + -30k) Solving 30 = -30 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 30 + 30k = -30 + -30k + 30k Combine like terms: -30k + 30k = 0 30 + 30k = -30 + 0 30 + 30k = -30 Add '-30' to each side of the equation. 30 + -30 + 30k = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 30k = -30 + -30 30k = -30 + -30 Combine like terms: -30 + -30 = -60 30k = -60 Divide each side by '30'. k = -2 Simplifying k = -2
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