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Simplifying 2a + 21 = 2(a + 8) + 1 Reorder the terms: 21 + 2a = 2(a + 8) + 1 Reorder the terms: 21 + 2a = 2(8 + a) + 1 21 + 2a = (8 * 2 + a * 2) + 1 21 + 2a = (16 + 2a) + 1 Reorder the terms: 21 + 2a = 16 + 1 + 2a Combine like terms: 16 + 1 = 17 21 + 2a = 17 + 2a Add '-2a' to each side of the equation. 21 + 2a + -2a = 17 + 2a + -2a Combine like terms: 2a + -2a = 0 21 + 0 = 17 + 2a + -2a 21 = 17 + 2a + -2a Combine like terms: 2a + -2a = 0 21 = 17 + 0 21 = 17 Solving 21 = 17 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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