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Simplifying 7(a + 1) + -3a = 5 + 4(a + -1) Reorder the terms: 7(1 + a) + -3a = 5 + 4(a + -1) (1 * 7 + a * 7) + -3a = 5 + 4(a + -1) (7 + 7a) + -3a = 5 + 4(a + -1) Combine like terms: 7a + -3a = 4a 7 + 4a = 5 + 4(a + -1) Reorder the terms: 7 + 4a = 5 + 4(-1 + a) 7 + 4a = 5 + (-1 * 4 + a * 4) 7 + 4a = 5 + (-4 + 4a) Combine like terms: 5 + -4 = 1 7 + 4a = 1 + 4a Add '-4a' to each side of the equation. 7 + 4a + -4a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + 0 = 1 + 4a + -4a 7 = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 7 = 1 + 0 7 = 1 Solving 7 = 1 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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