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Simplifying 2(4 + -1a + 8a) = 12 + 2(a + 6a + -2) Combine like terms: -1a + 8a = 7a 2(4 + 7a) = 12 + 2(a + 6a + -2) (4 * 2 + 7a * 2) = 12 + 2(a + 6a + -2) (8 + 14a) = 12 + 2(a + 6a + -2) Reorder the terms: 8 + 14a = 12 + 2(-2 + a + 6a) Combine like terms: a + 6a = 7a 8 + 14a = 12 + 2(-2 + 7a) 8 + 14a = 12 + (-2 * 2 + 7a * 2) 8 + 14a = 12 + (-4 + 14a) Combine like terms: 12 + -4 = 8 8 + 14a = 8 + 14a Add '-8' to each side of the equation. 8 + -8 + 14a = 8 + -8 + 14a Combine like terms: 8 + -8 = 0 0 + 14a = 8 + -8 + 14a 14a = 8 + -8 + 14a Combine like terms: 8 + -8 = 0 14a = 0 + 14a 14a = 14a Add '-14a' to each side of the equation. 14a + -14a = 14a + -14a Combine like terms: 14a + -14a = 0 0 = 14a + -14a Combine like terms: 14a + -14a = 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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