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Simplifying 7a + 5(a + 3) = 8a + 4(a + 2) Reorder the terms: 7a + 5(3 + a) = 8a + 4(a + 2) 7a + (3 * 5 + a * 5) = 8a + 4(a + 2) 7a + (15 + 5a) = 8a + 4(a + 2) Reorder the terms: 15 + 7a + 5a = 8a + 4(a + 2) Combine like terms: 7a + 5a = 12a 15 + 12a = 8a + 4(a + 2) Reorder the terms: 15 + 12a = 8a + 4(2 + a) 15 + 12a = 8a + (2 * 4 + a * 4) 15 + 12a = 8a + (8 + 4a) Reorder the terms: 15 + 12a = 8 + 8a + 4a Combine like terms: 8a + 4a = 12a 15 + 12a = 8 + 12a Add '-12a' to each side of the equation. 15 + 12a + -12a = 8 + 12a + -12a Combine like terms: 12a + -12a = 0 15 + 0 = 8 + 12a + -12a 15 = 8 + 12a + -12a Combine like terms: 12a + -12a = 0 15 = 8 + 0 15 = 8 Solving 15 = 8 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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