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Simplifying 27 = 4(1 + 7k) + -4(7k + -7) 27 = (1 * 4 + 7k * 4) + -4(7k + -7) 27 = (4 + 28k) + -4(7k + -7) Reorder the terms: 27 = 4 + 28k + -4(-7 + 7k) 27 = 4 + 28k + (-7 * -4 + 7k * -4) 27 = 4 + 28k + (28 + -28k) Reorder the terms: 27 = 4 + 28 + 28k + -28k Combine like terms: 4 + 28 = 32 27 = 32 + 28k + -28k Combine like terms: 28k + -28k = 0 27 = 32 + 0 27 = 32 Solving 27 = 32 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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