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Simplifying 3 + 5k = 30 + 2k Solving 3 + 5k = 30 + 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 + 5k + -2k = 30 + 2k + -2k Combine like terms: 5k + -2k = 3k 3 + 3k = 30 + 2k + -2k Combine like terms: 2k + -2k = 0 3 + 3k = 30 + 0 3 + 3k = 30 Add '-3' to each side of the equation. 3 + -3 + 3k = 30 + -3 Combine like terms: 3 + -3 = 0 0 + 3k = 30 + -3 3k = 30 + -3 Combine like terms: 30 + -3 = 27 3k = 27 Divide each side by '3'. k = 9 Simplifying k = 9
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