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Simplifying 7(a + 1) + -1 + -1a = 6(a + 1) Reorder the terms: 7(1 + a) + -1 + -1a = 6(a + 1) (1 * 7 + a * 7) + -1 + -1a = 6(a + 1) (7 + 7a) + -1 + -1a = 6(a + 1) Reorder the terms: 7 + -1 + 7a + -1a = 6(a + 1) Combine like terms: 7 + -1 = 6 6 + 7a + -1a = 6(a + 1) Combine like terms: 7a + -1a = 6a 6 + 6a = 6(a + 1) Reorder the terms: 6 + 6a = 6(1 + a) 6 + 6a = (1 * 6 + a * 6) 6 + 6a = (6 + 6a) Add '-6' to each side of the equation. 6 + -6 + 6a = 6 + -6 + 6a Combine like terms: 6 + -6 = 0 0 + 6a = 6 + -6 + 6a 6a = 6 + -6 + 6a Combine like terms: 6 + -6 = 0 6a = 0 + 6a 6a = 6a Add '-6a' to each side of the equation. 6a + -6a = 6a + -6a Combine like terms: 6a + -6a = 0 0 = 6a + -6a Combine like terms: 6a + -6a = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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