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Simplifying 0.5a + 0.5 = 1.5a + 2.5 Reorder the terms: 0.5 + 0.5a = 1.5a + 2.5 Reorder the terms: 0.5 + 0.5a = 2.5 + 1.5a Solving 0.5 + 0.5a = 2.5 + 1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5a' to each side of the equation. 0.5 + 0.5a + -1.5a = 2.5 + 1.5a + -1.5a Combine like terms: 0.5a + -1.5a = -1a 0.5 + -1a = 2.5 + 1.5a + -1.5a Combine like terms: 1.5a + -1.5a = 0.0 0.5 + -1a = 2.5 + 0.0 0.5 + -1a = 2.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1a = 2.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1a = 2.5 + -0.5 -1a = 2.5 + -0.5 Combine like terms: 2.5 + -0.5 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2
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