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Simplifying 41 + 2k = 3k + 33 Reorder the terms: 41 + 2k = 33 + 3k Solving 41 + 2k = 33 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 41 + 2k + -3k = 33 + 3k + -3k Combine like terms: 2k + -3k = -1k 41 + -1k = 33 + 3k + -3k Combine like terms: 3k + -3k = 0 41 + -1k = 33 + 0 41 + -1k = 33 Add '-41' to each side of the equation. 41 + -41 + -1k = 33 + -41 Combine like terms: 41 + -41 = 0 0 + -1k = 33 + -41 -1k = 33 + -41 Combine like terms: 33 + -41 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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