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Simplifying a + 1 = 1 + -4a + 2a Reorder the terms: 1 + a = 1 + -4a + 2a Combine like terms: -4a + 2a = -2a 1 + a = 1 + -2a Add '-1' to each side of the equation. 1 + -1 + a = 1 + -1 + -2a Combine like terms: 1 + -1 = 0 0 + a = 1 + -1 + -2a a = 1 + -1 + -2a Combine like terms: 1 + -1 = 0 a = 0 + -2a a = -2a Solving a = -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. a + 2a = -2a + 2a Combine like terms: a + 2a = 3a 3a = -2a + 2a Combine like terms: -2a + 2a = 0 3a = 0 Divide each side by '3'. a = 0 Simplifying a = 0
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