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Simplifying -6(-6 + 6k) = 6(3 + -3k) (-6 * -6 + 6k * -6) = 6(3 + -3k) (36 + -36k) = 6(3 + -3k) 36 + -36k = (3 * 6 + -3k * 6) 36 + -36k = (18 + -18k) Solving 36 + -36k = 18 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. 36 + -36k + 18k = 18 + -18k + 18k Combine like terms: -36k + 18k = -18k 36 + -18k = 18 + -18k + 18k Combine like terms: -18k + 18k = 0 36 + -18k = 18 + 0 36 + -18k = 18 Add '-36' to each side of the equation. 36 + -36 + -18k = 18 + -36 Combine like terms: 36 + -36 = 0 0 + -18k = 18 + -36 -18k = 18 + -36 Combine like terms: 18 + -36 = -18 -18k = -18 Divide each side by '-18'. k = 1 Simplifying k = 1
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