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Simplifying 8k + 3 = 2k + 33 Reorder the terms: 3 + 8k = 2k + 33 Reorder the terms: 3 + 8k = 33 + 2k Solving 3 + 8k = 33 + 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. 3 + 8k + -2k = 33 + 2k + -2k Combine like terms: 8k + -2k = 6k 3 + 6k = 33 + 2k + -2k Combine like terms: 2k + -2k = 0 3 + 6k = 33 + 0 3 + 6k = 33 Add '-3' to each side of the equation. 3 + -3 + 6k = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 6k = 33 + -3 6k = 33 + -3 Combine like terms: 33 + -3 = 30 6k = 30 Divide each side by '6'. k = 5 Simplifying k = 5
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