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Simplifying 7a + 1 = 8a + -1(a + -1) Reorder the terms: 1 + 7a = 8a + -1(a + -1) Reorder the terms: 1 + 7a = 8a + -1(-1 + a) 1 + 7a = 8a + (-1 * -1 + a * -1) 1 + 7a = 8a + (1 + -1a) Reorder the terms: 1 + 7a = 1 + 8a + -1a Combine like terms: 8a + -1a = 7a 1 + 7a = 1 + 7a Add '-1' to each side of the equation. 1 + -1 + 7a = 1 + -1 + 7a Combine like terms: 1 + -1 = 0 0 + 7a = 1 + -1 + 7a 7a = 1 + -1 + 7a Combine like terms: 1 + -1 = 0 7a = 0 + 7a 7a = 7a Add '-7a' to each side of the equation. 7a + -7a = 7a + -7a Combine like terms: 7a + -7a = 0 0 = 7a + -7a Combine like terms: 7a + -7a = 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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