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Simplifying k + -2(k + -30) = 9k Reorder the terms: k + -2(-30 + k) = 9k k + (-30 * -2 + k * -2) = 9k k + (60 + -2k) = 9k Reorder the terms: 60 + k + -2k = 9k Combine like terms: k + -2k = -1k 60 + -1k = 9k Solving 60 + -1k = 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 60 + -1k + -9k = 9k + -9k Combine like terms: -1k + -9k = -10k 60 + -10k = 9k + -9k Combine like terms: 9k + -9k = 0 60 + -10k = 0 Add '-60' to each side of the equation. 60 + -60 + -10k = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -10k = 0 + -60 -10k = 0 + -60 Combine like terms: 0 + -60 = -60 -10k = -60 Divide each side by '-10'. k = 6 Simplifying k = 6
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