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Simplifying 5(k + 2) = 2k + 11 Reorder the terms: 5(2 + k) = 2k + 11 (2 * 5 + k * 5) = 2k + 11 (10 + 5k) = 2k + 11 Reorder the terms: 10 + 5k = 11 + 2k Solving 10 + 5k = 11 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 10 + 5k + -2k = 11 + 2k + -2k Combine like terms: 5k + -2k = 3k 10 + 3k = 11 + 2k + -2k Combine like terms: 2k + -2k = 0 10 + 3k = 11 + 0 10 + 3k = 11 Add '-10' to each side of the equation. 10 + -10 + 3k = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 3k = 11 + -10 3k = 11 + -10 Combine like terms: 11 + -10 = 1 3k = 1 Divide each side by '3'. k = 0.3333333333 Simplifying k = 0.3333333333
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