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Simplifying 5a + -1 + 2a + 5 + a = 9a + 3a + 8 + -5a + -6 Reorder the terms: -1 + 5 + 5a + 2a + a = 9a + 3a + 8 + -5a + -6 Combine like terms: -1 + 5 = 4 4 + 5a + 2a + a = 9a + 3a + 8 + -5a + -6 Combine like terms: 5a + 2a = 7a 4 + 7a + a = 9a + 3a + 8 + -5a + -6 Combine like terms: 7a + a = 8a 4 + 8a = 9a + 3a + 8 + -5a + -6 Reorder the terms: 4 + 8a = 8 + -6 + 9a + 3a + -5a Combine like terms: 8 + -6 = 2 4 + 8a = 2 + 9a + 3a + -5a Combine like terms: 9a + 3a = 12a 4 + 8a = 2 + 12a + -5a Combine like terms: 12a + -5a = 7a 4 + 8a = 2 + 7a Solving 4 + 8a = 2 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 4 + 8a + -7a = 2 + 7a + -7a Combine like terms: 8a + -7a = 1a 4 + 1a = 2 + 7a + -7a Combine like terms: 7a + -7a = 0 4 + 1a = 2 + 0 4 + 1a = 2 Add '-4' to each side of the equation. 4 + -4 + 1a = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1a = 2 + -4 1a = 2 + -4 Combine like terms: 2 + -4 = -2 1a = -2 Divide each side by '1'. a = -2 Simplifying a = -2
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