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Simplifying (4a + 1) + (a + 5) + (2a + -1a) = 0 Reorder the terms: (1 + 4a) + (a + 5) + (2a + -1a) = 0 Remove parenthesis around (1 + 4a) 1 + 4a + (a + 5) + (2a + -1a) = 0 Reorder the terms: 1 + 4a + (5 + a) + (2a + -1a) = 0 Remove parenthesis around (5 + a) 1 + 4a + 5 + a + (2a + -1a) = 0 Combine like terms: 2a + -1a = 1a 1 + 4a + 5 + a + (1a) = 0 1 + 4a + 5 + a + (1a) = 0 Reorder the terms: 1 + 5 + 4a + a + (1a) = 0 Combine like terms: 1 + 5 = 6 6 + 4a + a + (1a) = 0 Combine like terms: 4a + a = 5a 6 + 5a + (1a) = 0 Combine like terms: 5a + (1a) = 6a 6 + 6a = 0 Solving 6 + 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6a = 0 + -6 6a = 0 + -6 Combine like terms: 0 + -6 = -6 6a = -6 Divide each side by '6'. a = -1 Simplifying a = -1
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