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Simplifying 8 + 5k = 45 + 2k Solving 8 + 5k = 45 + 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. 8 + 5k + -2k = 45 + 2k + -2k Combine like terms: 5k + -2k = 3k 8 + 3k = 45 + 2k + -2k Combine like terms: 2k + -2k = 0 8 + 3k = 45 + 0 8 + 3k = 45 Add '-8' to each side of the equation. 8 + -8 + 3k = 45 + -8 Combine like terms: 8 + -8 = 0 0 + 3k = 45 + -8 3k = 45 + -8 Combine like terms: 45 + -8 = 37 3k = 37 Divide each side by '3'. k = 12.33333333 Simplifying k = 12.33333333
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