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Simplifying 6k + -6(6k + -6) = 96 Reorder the terms: 6k + -6(-6 + 6k) = 96 6k + (-6 * -6 + 6k * -6) = 96 6k + (36 + -36k) = 96 Reorder the terms: 36 + 6k + -36k = 96 Combine like terms: 6k + -36k = -30k 36 + -30k = 96 Solving 36 + -30k = 96 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -30k = 96 + -36 Combine like terms: 36 + -36 = 0 0 + -30k = 96 + -36 -30k = 96 + -36 Combine like terms: 96 + -36 = 60 -30k = 60 Divide each side by '-30'. k = -2 Simplifying k = -2
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