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Simplifying 2(8k + 3) + 5 = k + 11 Reorder the terms: 2(3 + 8k) + 5 = k + 11 (3 * 2 + 8k * 2) + 5 = k + 11 (6 + 16k) + 5 = k + 11 Reorder the terms: 6 + 5 + 16k = k + 11 Combine like terms: 6 + 5 = 11 11 + 16k = k + 11 Reorder the terms: 11 + 16k = 11 + k Add '-11' to each side of the equation. 11 + -11 + 16k = 11 + -11 + k Combine like terms: 11 + -11 = 0 0 + 16k = 11 + -11 + k 16k = 11 + -11 + k Combine like terms: 11 + -11 = 0 16k = 0 + k 16k = k Solving 16k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 16k + -1k = k + -1k Combine like terms: 16k + -1k = 15k 15k = k + -1k Combine like terms: k + -1k = 0 15k = 0 Divide each side by '15'. k = 0 Simplifying k = 0
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