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Simplifying 7(k + 2) + -1 = 3(k + 7) + 4k Reorder the terms: 7(2 + k) + -1 = 3(k + 7) + 4k (2 * 7 + k * 7) + -1 = 3(k + 7) + 4k (14 + 7k) + -1 = 3(k + 7) + 4k Reorder the terms: 14 + -1 + 7k = 3(k + 7) + 4k Combine like terms: 14 + -1 = 13 13 + 7k = 3(k + 7) + 4k Reorder the terms: 13 + 7k = 3(7 + k) + 4k 13 + 7k = (7 * 3 + k * 3) + 4k 13 + 7k = (21 + 3k) + 4k Combine like terms: 3k + 4k = 7k 13 + 7k = 21 + 7k Add '-7k' to each side of the equation. 13 + 7k + -7k = 21 + 7k + -7k Combine like terms: 7k + -7k = 0 13 + 0 = 21 + 7k + -7k 13 = 21 + 7k + -7k Combine like terms: 7k + -7k = 0 13 = 21 + 0 13 = 21 Solving 13 = 21 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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