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Simplifying 8k + 14 = 2(k + 2) + 3(2k + 1) Reorder the terms: 14 + 8k = 2(k + 2) + 3(2k + 1) Reorder the terms: 14 + 8k = 2(2 + k) + 3(2k + 1) 14 + 8k = (2 * 2 + k * 2) + 3(2k + 1) 14 + 8k = (4 + 2k) + 3(2k + 1) Reorder the terms: 14 + 8k = 4 + 2k + 3(1 + 2k) 14 + 8k = 4 + 2k + (1 * 3 + 2k * 3) 14 + 8k = 4 + 2k + (3 + 6k) Reorder the terms: 14 + 8k = 4 + 3 + 2k + 6k Combine like terms: 4 + 3 = 7 14 + 8k = 7 + 2k + 6k Combine like terms: 2k + 6k = 8k 14 + 8k = 7 + 8k Add '-8k' to each side of the equation. 14 + 8k + -8k = 7 + 8k + -8k Combine like terms: 8k + -8k = 0 14 + 0 = 7 + 8k + -8k 14 = 7 + 8k + -8k Combine like terms: 8k + -8k = 0 14 = 7 + 0 14 = 7 Solving 14 = 7 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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