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Simplifying 5a + -1a + 8 = 8a + -6a + 9 Reorder the terms: 8 + 5a + -1a = 8a + -6a + 9 Combine like terms: 5a + -1a = 4a 8 + 4a = 8a + -6a + 9 Reorder the terms: 8 + 4a = 9 + 8a + -6a Combine like terms: 8a + -6a = 2a 8 + 4a = 9 + 2a Solving 8 + 4a = 9 + 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. 8 + 4a + -2a = 9 + 2a + -2a Combine like terms: 4a + -2a = 2a 8 + 2a = 9 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + 2a = 9 + 0 8 + 2a = 9 Add '-8' to each side of the equation. 8 + -8 + 2a = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 9 + -8 2a = 9 + -8 Combine like terms: 9 + -8 = 1 2a = 1 Divide each side by '2'. a = 0.5 Simplifying a = 0.5
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