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Simplifying 5(2k + 11) = 2(12 + 5k) Reorder the terms: 5(11 + 2k) = 2(12 + 5k) (11 * 5 + 2k * 5) = 2(12 + 5k) (55 + 10k) = 2(12 + 5k) 55 + 10k = (12 * 2 + 5k * 2) 55 + 10k = (24 + 10k) Add '-10k' to each side of the equation. 55 + 10k + -10k = 24 + 10k + -10k Combine like terms: 10k + -10k = 0 55 + 0 = 24 + 10k + -10k 55 = 24 + 10k + -10k Combine like terms: 10k + -10k = 0 55 = 24 + 0 55 = 24 Solving 55 = 24 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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