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Simplifying -6(-2k + 18) = -15k Reorder the terms: -6(18 + -2k) = -15k (18 * -6 + -2k * -6) = -15k (-108 + 12k) = -15k Solving -108 + 12k = -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -108 + 12k + 15k = -15k + 15k Combine like terms: 12k + 15k = 27k -108 + 27k = -15k + 15k Combine like terms: -15k + 15k = 0 -108 + 27k = 0 Add '108' to each side of the equation. -108 + 108 + 27k = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 27k = 0 + 108 27k = 0 + 108 Combine like terms: 0 + 108 = 108 27k = 108 Divide each side by '27'. k = 4 Simplifying k = 4
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