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Simplifying 10(3k + 11) = 2(9k + 11) Reorder the terms: 10(11 + 3k) = 2(9k + 11) (11 * 10 + 3k * 10) = 2(9k + 11) (110 + 30k) = 2(9k + 11) Reorder the terms: 110 + 30k = 2(11 + 9k) 110 + 30k = (11 * 2 + 9k * 2) 110 + 30k = (22 + 18k) Solving 110 + 30k = 22 + 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. 110 + 30k + -18k = 22 + 18k + -18k Combine like terms: 30k + -18k = 12k 110 + 12k = 22 + 18k + -18k Combine like terms: 18k + -18k = 0 110 + 12k = 22 + 0 110 + 12k = 22 Add '-110' to each side of the equation. 110 + -110 + 12k = 22 + -110 Combine like terms: 110 + -110 = 0 0 + 12k = 22 + -110 12k = 22 + -110 Combine like terms: 22 + -110 = -88 12k = -88 Divide each side by '12'. k = -7.333333333 Simplifying k = -7.333333333
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