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Simplifying 27 = -3(6k + -3) + -3(k + -6) Reorder the terms: 27 = -3(-3 + 6k) + -3(k + -6) 27 = (-3 * -3 + 6k * -3) + -3(k + -6) 27 = (9 + -18k) + -3(k + -6) Reorder the terms: 27 = 9 + -18k + -3(-6 + k) 27 = 9 + -18k + (-6 * -3 + k * -3) 27 = 9 + -18k + (18 + -3k) Reorder the terms: 27 = 9 + 18 + -18k + -3k Combine like terms: 9 + 18 = 27 27 = 27 + -18k + -3k Combine like terms: -18k + -3k = -21k 27 = 27 + -21k Add '-27' to each side of the equation. 27 + -27 = 27 + -27 + -21k Combine like terms: 27 + -27 = 0 0 = 27 + -27 + -21k Combine like terms: 27 + -27 = 0 0 = 0 + -21k 0 = -21k Solving 0 = -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. 0 + 21k = -21k + 21k Remove the zero: 21k = -21k + 21k Combine like terms: -21k + 21k = 0 21k = 0 Divide each side by '21'. k = 0 Simplifying k = 0
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