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Simplifying 3k + -29 = 41 + -2k Reorder the terms: -29 + 3k = 41 + -2k Solving -29 + 3k = 41 + -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. -29 + 3k + 2k = 41 + -2k + 2k Combine like terms: 3k + 2k = 5k -29 + 5k = 41 + -2k + 2k Combine like terms: -2k + 2k = 0 -29 + 5k = 41 + 0 -29 + 5k = 41 Add '29' to each side of the equation. -29 + 29 + 5k = 41 + 29 Combine like terms: -29 + 29 = 0 0 + 5k = 41 + 29 5k = 41 + 29 Combine like terms: 41 + 29 = 70 5k = 70 Divide each side by '5'. k = 14 Simplifying k = 14
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