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Simplifying 2.5a + 4.5 + -1.5a + 0.5 = 9.5 Reorder the terms: 4.5 + 0.5 + 2.5a + -1.5a = 9.5 Combine like terms: 4.5 + 0.5 = 5 5 + 2.5a + -1.5a = 9.5 Combine like terms: 2.5a + -1.5a = 1a 5 + 1a = 9.5 Solving 5 + 1a = 9.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1a = 9.5 + -5 Combine like terms: 5 + -5 = 0 0 + 1a = 9.5 + -5 1a = 9.5 + -5 Combine like terms: 9.5 + -5 = 4.5 1a = 4.5 Divide each side by '1'. a = 4.5 Simplifying a = 4.5
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