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Simplifying a + 8 + -5a + 6 + 2a + 9 + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10 Reorder the terms: 8 + 6 + 9 + a + -5a + 2a + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10 Combine like terms: 8 + 6 = 14 14 + 9 + a + -5a + 2a + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10 Combine like terms: 14 + 9 = 23 23 + a + -5a + 2a + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10 Combine like terms: a + -5a = -4a 23 + -4a + 2a + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10 Combine like terms: -4a + 2a = -2a 23 + -2a + 4a + -1a = 4a + 7 + -2a + 8 + -2a + -10 Combine like terms: -2a + 4a = 2a 23 + 2a + -1a = 4a + 7 + -2a + 8 + -2a + -10 Combine like terms: 2a + -1a = 1a 23 + 1a = 4a + 7 + -2a + 8 + -2a + -10 Reorder the terms: 23 + 1a = 7 + 8 + -10 + 4a + -2a + -2a Combine like terms: 7 + 8 = 15 23 + 1a = 15 + -10 + 4a + -2a + -2a Combine like terms: 15 + -10 = 5 23 + 1a = 5 + 4a + -2a + -2a Combine like terms: 4a + -2a = 2a 23 + 1a = 5 + 2a + -2a Combine like terms: 2a + -2a = 0 23 + 1a = 5 + 0 23 + 1a = 5 Solving 23 + 1a = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 1a = 5 + -23 Combine like terms: 23 + -23 = 0 0 + 1a = 5 + -23 1a = 5 + -23 Combine like terms: 5 + -23 = -18 1a = -18 Divide each side by '1'. a = -18 Simplifying a = -18
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