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Simplifying -9k + 18 = 6k + -27 Reorder the terms: 18 + -9k = 6k + -27 Reorder the terms: 18 + -9k = -27 + 6k Solving 18 + -9k = -27 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 18 + -9k + -6k = -27 + 6k + -6k Combine like terms: -9k + -6k = -15k 18 + -15k = -27 + 6k + -6k Combine like terms: 6k + -6k = 0 18 + -15k = -27 + 0 18 + -15k = -27 Add '-18' to each side of the equation. 18 + -18 + -15k = -27 + -18 Combine like terms: 18 + -18 = 0 0 + -15k = -27 + -18 -15k = -27 + -18 Combine like terms: -27 + -18 = -45 -15k = -45 Divide each side by '-15'. k = 3 Simplifying k = 3
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