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Simplifying 4a + -1 + -3a + 2 = -3(4 + 2a) + -7(1 + -1a) Reorder the terms: -1 + 2 + 4a + -3a = -3(4 + 2a) + -7(1 + -1a) Combine like terms: -1 + 2 = 1 1 + 4a + -3a = -3(4 + 2a) + -7(1 + -1a) Combine like terms: 4a + -3a = 1a 1 + 1a = -3(4 + 2a) + -7(1 + -1a) 1 + 1a = (4 * -3 + 2a * -3) + -7(1 + -1a) 1 + 1a = (-12 + -6a) + -7(1 + -1a) 1 + 1a = -12 + -6a + (1 * -7 + -1a * -7) 1 + 1a = -12 + -6a + (-7 + 7a) Reorder the terms: 1 + 1a = -12 + -7 + -6a + 7a Combine like terms: -12 + -7 = -19 1 + 1a = -19 + -6a + 7a Combine like terms: -6a + 7a = 1a 1 + 1a = -19 + 1a Add '-1a' to each side of the equation. 1 + 1a + -1a = -19 + 1a + -1a Combine like terms: 1a + -1a = 0 1 + 0 = -19 + 1a + -1a 1 = -19 + 1a + -1a Combine like terms: 1a + -1a = 0 1 = -19 + 0 1 = -19 Solving 1 = -19 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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